Louis Kauffman | Academic Influence

Louis Kauffman's AcademicInfluence.com Rankings

Louis Kauffman

Mathematics

#754

World Rank

#1365

Historical Rank

#329

USA Rank

Topology

#15

World Rank

#29

Historical Rank

#6

USA Rank

Measure Theory

#378

World Rank

#557

Historical Rank

#162

USA Rank

mathematics Degrees

Download Badge

Mathematics

Louis Kauffman's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics University of California, Berkeley

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Louis Kauffman Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Louis Hirsch Kauffman is an American mathematician, mathematical physicist, and professor of mathematics in the Department of Mathematics, Statistics, and Computer science at the University of Illinois at Chicago. He does research in topology, knot theory, topological quantum field theory, quantum information theory, and diagrammatic and categorical mathematics. He is best known for the introduction and development of the bracket polynomial and the Kauffman polynomial.

(See a Problem?)

Louis Kauffman's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

State Models and the Jones Polynomial (1987) (1365)
Virtual Knot Theory (1998) (990)
An Introduction to Knot Theory (2001) (891)
An invariant of regular isotopy (1990) (615)
Knots And Physics (1991) (490)
Formal Knot Theory (1983) (269)
Braiding operators are universal quantum gates (2004) (263)
New invariants in the theory of knots (1988) (247)
Invariants of graphs in three-space (1989) (220)
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134) (1994) (199)
Self-reference and recursive forms (1987) (178)
State-Sum Invariants of 4-Manifolds (1994) (153)
The Interface of Knots and Physics (1996) (147)
A Tutte polynomial for signed graphs (1989) (134)
Biquandles and virtual links (2004) (132)
Ray tracing deterministic 3-D fractals (1989) (130)
Quantum entanglement and topological entanglement (2002) (124)
Visualizing quaternion rotation (1994) (124)
Bi-oriented Quantum Algebras, and a Generalized Alexander Polynomial for Virtual Links (2001) (120)
A Necessary and Sufficient Condition for a Finite-Dimensional Drinfel′d Double to Be a Ribbon Hopf Algebra (1993) (116)
Free fermions and the Alexander-Conway polynomial (1991) (115)
INVARIANTS OF 3-MANIFOLDS DERIVED FROM FINITE DIMENSIONAL HOPF ALGEBRAS (1994) (113)
On the classification of rational tangles (2003) (112)
LINK POLYNOMIALS AND A GRAPHICAL CALCULUS (1992) (107)
The conway polynomial (1990) (98)
How superfluid vortex knots untie (2015) (97)
Knot theory and statistical mechanics (1997) (97)
Virtual Crossing Number and the Arrow Polynomial (2008) (91)
Minimal surface representations of virtual knots and links (2004) (89)
Rational Tangles (1997) (86)
Universal Quantum Gate, Yang-Baxterization and Hamiltonian (2004) (85)
INTRODUCTION TO VIRTUAL KNOT THEORY (2011) (82)
Infinite families of links with trivial Jones polynomial (2003) (81)
A self-linking invariant of virtual knots (2004) (80)
$q$ - Deformed Spin Networks, Knot Polynomials and Anyonic Topological Quantum Computation (2006) (78)
Virtual Braids (2004) (76)
Yang–Baxterizations, Universal Quantum Gates and Hamiltonians (2005) (74)
Knots and Physics: Third Edition (2001) (74)
DISCRETE PHYSICS AND THE DIRAC EQUATION (1996) (74)
The mathematics of Charles Sanders Peirce (2001) (73)
Quantum knots and mosaics (2008) (73)
Knots and Graphs I-Arc Graphs and Colorings (1999) (70)
An Affine Index Polynomial Invariant of Virtual Knots (2012) (68)
VIRTUAL BRAIDS AND THE L-MOVE (2005) (66)
Structures and Diagrammatics of Four Dimensional Topological Lattice Field Theories (1998) (61)
A Survey of Virtual Knot Theory (2000) (61)
The Conway Polynomial in R3 and in Thickened Surfaces: A New Determinant Formulation (1994) (55)
Branched coverings, open books and knot periodicity (1974) (55)
On the Classification of Rational Knots (2002) (54)
New invariants of knotoids (2016) (53)
Virtual Biquandles (2004) (53)
Map coloring and the vector cross product (1990) (53)
Virtual knot theory-unsolved problems (2004) (53)
Periodicity of branched cyclic covers (1975) (52)
Topological Models for Open-Knotted Protein Chains Using the Concepts of Knotoids and Bonded Knotoids (2017) (52)
Journal of Knot Theory and its Ramifications: Introduction (2011) (51)
Knot Logic and Topological Quantum Computing with Majorana Fermions (2013) (51)
Virtual knots and links (2005) (49)
Mathematics of Quantum Computation and Quantum Technology (2007) (49)
PRODUCTS OF KNOTS, BRANCHED FIBRATIONS AND SUMS OF SINGULARITIES (1977) (47)
GAUSS CODES, QUANTUM GROUPS AND RIBBON HOPF ALGEBRAS (1993) (46)
SPIN NETWORKS AND KNOT POLYNOMIALS (1990) (45)
Knot Diagrammatics (2004) (45)
Signature of links (1976) (45)
Teleportation topology (2004) (44)
Non-commutative worlds (2004) (43)
Knots and Applications (1995) (43)
An Extended Bracket Polynomial for Virtual Knots and Links (2007) (41)
Khovanov Homology, Lee Homology and a Rasmussen Invariant for Virtual Knots (2014) (41)
Discrete physics and the derivation of electromagnetism from the formalism of quantum mechanics (1996) (41)
On the Links–Gould Invariant of Links (1998) (39)
Entanglement criteria: quantum and topological (2003) (38)
The Process Equation (1998) (38)
Eigenforms - Objects as Tokens for Eigenbehaviors (2003) (35)
Hard Unknots and Collapsing Tangles (2006) (34)
A Linking Number Definition of the Affine Index Polynomial and Applications (2012) (34)
Particle Topology, Braids, and Braided Belts (2009) (34)
On Filamentations and Virtual Knots (2001) (33)
Virtual Knot Cobordism (2014) (32)
Noncommutativity and discrete physics (1997) (32)
Quantum knots (2004) (31)
Reflexivity and Eigenform: The Shape of Process (2009) (31)
Nuclear-magnetic-resonance quantum calculations of the Jones polynomial. (2010) (31)
On the minimum number of colors for knots (2005) (31)
State sum invariants of four manifolds. 1. (1994) (30)
Topological quantum computing and the Jones polynomial (2006) (30)
Evaluating the Crane-Yetter invariant (1993) (28)
Invariants of theta-curves and other graphs in 3-space" (1993) (28)
Functional integration and the theory of knots (1995) (28)
Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals (2002) (27)
The Fibonacci model and the Temperley-Lieb algebra (2008) (26)
KNOTS AND DIAGRAMS (1997) (26)
The mathematics and physics of knots (2005) (26)
NETWORK SYNTHESIS AND VARELA'S CALCULUS (1978) (26)
The Physics of Reality:Space, Time, Matter, Cosmos (2013) (26)
De Morgan Algebras - completeness and recursion (1978) (26)
Particle Identifications from Symmetries of Braided Ribbon Network Invariants (2008) (25)
PERMUTATION AND ITS PARTIAL TRANSPOSE (2006) (24)
Quantum Knots and Lattices, or a Blueprint for Quantum Systems that Do Rope Tricks (2009) (24)
Unsolved Problems in Virtual Knot Theory and Combinatorial Knot Theory (2014) (24)
A 3-stranded quantum algorithm for the Jones Polynomial (2007) (24)
MAP COLORING, q-DEFORMED SPIN NETWORKS, AND TURAEV-VIRO INVARIANTS FOR 3-MANIFOLDS (1992) (23)
Witten’s integral and the Kontsevich Integral (1998) (22)
Oriented Quantum Algebras, Categories and Invariants of Knots and Links (2000) (22)
What Is a Number? (1999) (22)
Oriented Quantum Algebras and Invariants of Knots and Links (2000) (22)
BIQUANDLES FOR VIRTUAL KNOTS (2007) (22)
Products of knots (1974) (21)
Quantum Computing and the Jones Polynomial (2001) (21)
Interactive visualization of quaternion Julia sets (1990) (21)
Virtual Knot Diagrams and the Witten-Reshetikhin-Turaev Invariant (2004) (21)
On Two Categorifications of the Arrow Polynomial for Virtual Knots (2009) (20)
The Process Equation: Formulating and Testing the Process Theory of Systems (1999) (20)
Scattering of Electromagnetic Waves from Two Concentric Spheres When the Outer Shell has a Variable Refractive Index. Numerical Results (1966) (20)
Computing Turaev-Viro invariants for 3-manifolds (1991) (19)
Chemlambda, universality and self-multiplication (2014) (19)
Quantum Topology and Quantum Computing (1999) (19)
Knots, Tangles, and Electrical Networks (1993) (19)
Lectures on Topological Fluid Mechanics (2009) (19)
Kernel of the variation operator and periodicity of open books (2003) (18)
A Continuous Variable Shor Algorithm (2002) (18)
NOVEL STATISTICS FOR STRINGS AND STRING “CHERN-SIMON” TERMS (1991) (18)
Cybernetics, Reflexivity and Second-Order Science (2016) (18)
Invariants of welded virtual knots via crossed module invariants of knotted surfaces (2007) (18)
Topological aspects of quantum entanglement (2016) (18)
A simple mechanism for the avoidance of entanglement during chromosome replication. (1998) (17)
Hopf algebras and invariants of 3-manifolds (1995) (16)
Control aspects of quantum computing using pure and mixed states (2012) (16)
Self-reference, biologic and the structure of reproduction. (2015) (16)
Untangling knots by stochastic energy optimization (1996) (16)
Algebraic Modeling of Topological and Computational Structures and Applications (2017) (16)
Knot automata (1994) (16)
Quantum Hidden Subgroup Problems: A Mathematical Perspective (2002) (16)
Planar surface immersions (1979) (16)
SPACE AND TIME IN COMPUTATION AND DISCRETE PHYSICS (1998) (15)
Determinants of Rational Knots (2007) (15)
FERMIONS AND LINK INVARIANTS (1992) (14)
Non-commutative Calculus and Discrete Physics (2003) (14)
Fourier Knots (1997) (14)
Emergent Braided Matter of Quantum Geometry (2011) (13)
Unknotting Unknots (2010) (13)
Immersions and Mod-2 Quadratic Forms (1977) (13)
Spin networks and anyonic topological computing (2006) (13)
From knots to quantum groups (and back) (1990) (13)
Centrality and the KRH Invariant (1998) (13)
ARITHMETIC IN THE FORM (1995) (13)
Is Grover’s Algorithm a Quantum Hidden Subgroup Algorithm? (2006) (13)
Quantizing braids and other mathematical structures: the general quantization procedure (2011) (13)
A Graphical Construction of the sl(3) Invariant for Virtual Knots (2012) (13)
Braiding, Majorana fermions, Fibonacci particles and topological quantum computing (2018) (13)
Rotational Virtual Knots and Quantum Link Invariants (2015) (13)
Quantum algebras, quantum coalgebras, invariants of 1-1 tangles and knots (2000) (13)
Knot polynomials of open and closed curves (2020) (12)
Topological Quantum Information Theory (2009) (12)
Knot theory and a physical state of quantum gravity (2005) (12)
Virtual Homotopy (2006) (12)
Transformations in special relativity (1985) (12)
Quantizing knots, groups and graphs (2011) (12)
Minimal Flat Knotted Ribbons (2004) (12)
Vassiliev Invariants and the Loop States in Quantum Gravity (1993) (12)
Parity, Skein Polynomials and Categorification (2011) (12)
Physically-Based Stochastic Simplification of Mathematical Knots (1997) (12)
From Tangle Fractions to DNA (2003) (12)
Braiding with Majorana fermions (2016) (11)
Non-Commutative Worlds and Classical Constraints (2011) (11)
GLC actors, artificial chemical connectomes, topological issues and knots (2013) (11)
LUNE-FREE KNOT GRAPHS (2005) (11)
Eigenforms and Quantum Physics (2011) (11)
A Categorical Model for the Virtual Braid Group (2011) (11)
Time, Imaginary Value, Paradox, Sign and Space (2002) (11)
“Hidden” Parameters Describing Internal Motion Within Extended Particle Elements (2010) (11)
Quantizing Knots and Beyond (2011) (10)
Reformulating the map color theorem (2001) (10)
Investigation of Bifurcations in the Process Equation (2017) (10)
VASSILIEV KNOT INVARIANTS AND THE STRUCTURE OF RNA FOLDING (2008) (10)
The L-Move and Virtual Braids (2006) (10)
The Teneva Game (2012) (10)
The Robbins problem: computer proofs and human proofs (2001) (10)
Virtual knot cobordism and the affine index polynomial (2018) (10)
Laws of Form and Form Dynamics (2002) (10)
A Knot Polynomial Invariant for Analysis of Topology of RNA Stems and Protein Disulfide Bonds (2017) (9)
Infinite computations and the generic finite (2014) (9)
Unknots and Molecular Biology (2006) (9)
Eigenforms, Discrete Processes and Quantum Processes (2012) (9)
Virtual Extension of Temperley--Lieb Algebra (2006) (9)
Differential Geometry in Non-Commutative Worlds (2006) (9)
Knot Theory and Physics (2006) (9)
Continuous quantum hidden subgroup algorithms (2003) (9)
Spin Networks and Quantum Computation (2008) (9)
Twist spinning revisited (1978) (9)
AN ELEMENTARY PROOF THAT ALL SPANNING SURFACES OF A LINK ARE TUBE-EQUIVALENT (1998) (9)
Quantum Algebra Structures onn × nMatrices☆ (1999) (9)
A Categorical Structure for the Virtual Braid Group (2011) (9)
The Artist and the Scientific Research Environment (2006) (9)
Spin Networks, Topology and Discrete Physics (1994) (9)
GRAPH INVARIANTS AND THE TOPOLOGY OF RNA FOLDING (1994) (8)
Quantum Hidden Subgroup Algorithms: a Mathematical Perspective (2009) (8)
Peirce's Existential Graphs (2011) (8)
Huygens triviality of the time-independent Schr\"odinger equation. Applications to atomic and high energy physics (2017) (8)
Robbins algebra (1990) (8)
Virtual logic - The Flagg Resolution (1999) (8)
Right integrals and invariants of three-manifolds (1999) (8)
A Survey on Knotoids, Braidoids and Their Applications (2016) (8)
The Mereon Matrix: Everything Connected through (K)nothing (2018) (7)
Graphical constructions for the sl(3), C2 and G2 invariants for virtual knots, virtual braids and free knots (2014) (7)
A separation result for quantum coalgebras with an application to pointed quantum coalgebras of small dimension (2000) (7)
Iterants, Idempotents and Clifford algebra in Quantum Theory (2017) (7)
On the Classicality of Broda's SU(2) Invariant of 4-manifolds (1993) (7)
Parity Biquandles (2011) (7)
FUNCTIONAL INTEGRATION, KONTSEVICH INTEGRAL AND FORMAL INTEGRATION (2001) (7)
Iterants, Fermions and Majorana Operators (2015) (7)
Quantum Invariants of Templates (2003) (6)
The Russell Operator (2012) (6)
Reflexivity and Foundations of Physics (2010) (6)
Virtual Logic - An Introduction (2010) (6)
On the cybernetics of fixed points (2001) (6)
Tangle Complexity and the Topology of the Chinese Rings (1996) (6)
Nodal Parity Invariants of Knotted Rigid Vertex Graphs (2012) (6)
Scientific essays in honor of H. Pierre Noyes on the occasion of his 90th birthday (2014) (6)
Problems in Knot Theory (1990) (6)
Space and time in computation, topology and discrete physics (1994) (6)
Remarks on Formal Knot Theory (2006) (6)
On Two Proofs for the Existence and Uniqueness of Integrals for Finite-Dimensional Hopf Algebras (1999) (6)
A State Calculus for Graph Coloring (2015) (6)
Immersions and \opertornameMod-2 Quadratic Forms (1977) (6)
Minimal sufficient sets of colors and minimum number of colors (2015) (6)
A Polynomial Invariant for Flat Virtual Links (2005) (6)
Bios: Creative Organization Beyond Chaos (1999) (6)
Equivalence classes of colorings (2012) (6)
Black holes and topological surgery (2018) (5)
Combinatorics and topology - François Jaeger's work in knot theory (1999) (5)
Lower Bounds on Virtual Crossing Number and Minimal Surface Genus (2009) (5)
Reflexivity and Eigenform (2009) (5)
The Delunification Process and Minimal Diagrams (2014) (5)
New invariants of links and their state sum models (2017) (5)
Iterant Algebra (2017) (5)
A Framework Linking Non-Living and Living Systems: Classification of Persistence, Survival and Evolution Transitions (2009) (5)
Signature of branched fibrations (1978) (5)
POLYNOMIAL INVARIANTS IN KNOT THEORY (1991) (5)
The Mereon Matrix: Unity, perspective and paradox (2013) (5)
Skein Invariants of Links and Their State Sum Models (2017) (5)
Exploring Novel Cyclic Extensions of Hamilton’s Dual-Quaternion Algebra (2013) (5)
A quantum manual for computing the Jones polynomial (2008) (5)
Cyclic branched covers O(n)-actions and hypersurface singularities (1973) (5)
Topological-Like Features in Diagrammatical Quantum Circuits (2007) (5)
The Biotic Logic of Quantum Processes and Quantum Computation (2013) (5)
Topological Quantum Information, Khovanov Homology and the Jones Polynomial (2010) (5)
Temperely-Lieb Algebras and the Four-Color Theorem (2003) (5)
A Review of NATURE'S MAGIC: Synergy in Evolution and the Fate of Humankind by Peter Corning. (2004) (5)
On the Maximum Number of Colors for Links (2012) (5)
Finite type invariants for knotoids (2020) (5)
Topological surgery in cosmic phenomena (2018) (5)
Introduction to Quantum Topology (1993) (5)
Majorana Fermions and representations of the braid group (2017) (5)
Rectangular knot diagrams classification with deep learning (2020) (4)
Quantum Hidden Subgroup Algorithms: An Algorithmic Toolkit (2006) (4)
Glafka-2004: Non-Commutative Worlds (2006) (4)
Spin networks and the bracket polynomial (1998) (4)
Cosmological Theories Of The Extra Terms (2018) (4)
Z/2Z topological order and Majorana doubling in Kitaev Chain (2017) (4)
Vassiliev measures of complexity of open and closed curves in 3-space (2021) (4)
Spin networks and anyonic topological computing II (2006) (4)
Topological quantum information, virtual Jones polynomials and Khovanov homology (2011) (4)
Introductory lectures on knot theory: selected lectures presented at the advanced school and conference on knot theory and its applications to physics and biology (2011) (4)
On Finiteness of Certain Vassiliev Invariants (1995) (4)
Self-Repelling Knots and Local Energy Minima (1998) (4)
The Dirac Equation and the Majorana Dirac Equation. (2020) (4)
Quantum Invariants of Knotoids (2021) (4)
Riemann ’ s zeta function and the prime series display a biotic pattern of diversification , novelty , and complexity (2007) (4)
Simplicial homotopy theory, link homology and Khovanov homology (2017) (4)
The generalized Yamada polynomials of virtual spatial graphs (2018) (4)
New skein invariants of links (2017) (4)
Parity, virtual closure and minimality of knotoids (2022) (4)
VASSILIEV INVARIANTS AND FUNCTIONAL INTEGRATION WITHOUT INTEGRATION (2004) (4)
Parity in Knotoids (2019) (4)
Topological quantum computing and SU(2) braid group representations (2008) (4)
Knot theory and the heuristics of functional integration (2000) (4)
Quantum diagrams and quantum networks (2014) (4)
Knot Logic: Logical Connection and Topological Connection (2015) (4)
Combinatorial Recoupling Theory and 3-Manifold Invariants (1993) (4)
On ribbon graphs and virtual links (2020) (4)
Quantum algorithms for the Jones polynomial (2010) (4)
Peirce and Spencer-Brown: history and synergies in cybersemiotics (2007) (3)
The total curvature of knots under second-order infinitesimal bending (2019) (3)
Local-moves on knots and products of knots II (2012) (3)
An Introduction to Khovanov Homology (2011) (3)
How the modified Bertrand theorem explains regularities of the periodic table I. From conformal invariance to Hopf mapping (2019) (3)
On E.D. Jones' MICROCOSMOLOGY (2003) (3)
Virtual Logic: Fragments Of The Void - Selecta (2004) (3)
Alexander–Conway polynomial state model and link homology (2014) (3)
Eigenform and Reflexivity (2017) (3)
Seven Knots and Knots in the Seven-Color Map (2009) (3)
Search for New Quantum Algorithms (2006) (3)
Cyclic branched covers and o(n)-manifolds (1972) (3)
Link manifolds and periodicity (1973) (3)
Braiding and Majorana fermions (2017) (3)
The Affine Index Polynomial and the Sawollek Polynomial (2020) (3)
The Language of Design and the Design of Language (2019) (3)
Remarks on Khovanov Homology and the Potts Model (2009) (3)
FORMAL SYSTEMS EigenForm (2003) (3)
Chern-Simons Theory, Vassiliev Invariants, Loop Quantum Gravity and Functional Integration Without Integration (2015) (3)
UNKNOTS AND DNA (2007) (3)
Invariants of Bonded Knotoids and Applications to Protein Folding (2022) (3)
Infinitesimal bending of knots and energy change (2019) (3)
Universal Quantum Computing: Third Gen Prototyping Utilizing Relativistic ‘Trivector’ R-Qubit Modeling Surmounting Uncertainty (2013) (3)
Graphical virtual links and a polynomial for signed cyclic graphs (2017) (3)
Algebraic Structures in Low-Dimensional Topology (2014) (3)
Following Knots down Their Energy Gradients (2012) (3)
Iterants, Fermions and the Dirac Equation (2014) (3)
On the Height of Knotoids (2015) (3)
Topology and Quantum Computing (2009) (3)
Categorical pairs and the indicative shift (2011) (3)
Anyonic Topological Quantum Computation and the Virtual Braid Group (2009) (2)
Infinitely many prime knots with the same Alexander invariants (2016) (2)
Quantum Computing and Quantum Topology (2007) (2)
Tangles, Rational Knots and DNA (2009) (2)
Knots and statistical mechanics (1998) (2)
Laws of Form, Majorana Fermions, and Discrete Physics (2013) (2)
Graded forests and rational knots (2007) (2)
A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots (2018) (2)
Book Review: Quantum fields and strings: A course for mathematicians, Volumes 1 and 2 (2001) (2)
New ideas in low dimensional topology (2015) (2)
Functional Integration and the Kontsevich Integral (1998) (2)
Z2 Topological Order and Topological Protection of Majorana Fermion Qubits (2017) (2)
On arrow polynomials of checkerboard colorable virtual links (2020) (2)
On Knots. (AM-115) (1987) (2)
Review essay: Life field (1986) (2)
Braiding of majorana fermions and topological quantum computation (2016) (2)
Unoriented Virtual Khovanov Homology (2020) (2)
On the orbits associated with the Collatz conjecture (2020) (2)
The Unknotting Problem (2016) (2)
NMR Quantum Calculations of the Jones Polynomial (2009) (2)
Scientific and artistic investigation of multi-dimensional fractals on the AT & T pixel machine (1993) (2)
Link Manifolds and Global Gravitational Anomalies (1993) (2)
A note on amphicheiral alternating links (2010) (2)
Fundamental Physics at the Vigier Centenary (2021) (2)
An integral heuristic (1990) (2)
Knots, spin networks and 3-manifold invariants (1992) (2)
Virtual logic - The key to Frege (2001) (2)
Iterants, Braiding and the Dirac Equation (2018) (2)
Virtual logic - reasoning and playing with imaginary boolean values (2001) (2)
Mathematical Work of Francisco Varela (2017) (2)
Colorings beyond Fox: The other linear Alexander quandles (2017) (2)
Reduced Relative Tutte, Kauffman Bracket and Jones Polynomials of Virtual Link Families (2011) (2)
Virtual Logic: The One and the Many (2005) (2)
The mysterious connection between mathematics and physics. (2015) (2)
Quantum hidden subgroup algorithms: The devil is in the details (2004) (2)
Recursive Distinctioning (2016) (2)
Virtual logic - the calculus of indications (1998) (2)
Graphoids (2022) (2)
In Memoriam: Slavik Jablan 1952-2015 (2015) (1)
Non-Commutative Worlds -- A Summary (2005) (1)
Comments by Louis H. Kauffman (1987) (1)
Unknotting and maximum unknotting numbers (2016) (1)
Tangle Insertion Invariants for Pseudoknots, Singular Knots, and Rigid Vertex Spatial Graphs (2016) (1)
APPENDIX. GENERALIZED POLYNOMIALS AND A STATE MODEL FOR THE JONES POLYNOMIAL (1988) (1)
The prevalence of persistent tangles (2019) (1)
The interface of knots and physics : American Mathematical Society short course, January 2-3, 1995, San Francisco, California (1996) (1)
Review of "Knots" by Alexei Sossinsky, . . . (2003) (1)
On Creation From Nothing (2014) (1)
Laws of Form: A Fiftieth Anniversary (2022) (1)
A Theorem on Amphicheiral Alternating Links (2010) (1)
Decomposition of the vertex group of 3-manifolds (1992) (1)
PENDULUM TRACED CURVES AND DAMPED OSCILLATIONS IN THE PLANE (2007) (1)
The BF Calculus and the Square Root of Negation (2019) (1)
Spin Networks, Quantum Topology and Quantum Computation (2007) (1)
VASSILIEV INVARIANTS AND THE JONES POLYNOMIAL (1993) (1)
New invariants for virtual knots via spanning surfaces (2022) (1)
Khovanov–Lipshitz–Sarkar homotopy type for links in thickened higher genus surfaces (2020) (1)
On the Operator Origins of Classical and Quantum Wave Functions (2022) (1)
Circularity and Distinction (2014) (1)
Upper Bounds for an Unknotting Sequence of Reidemeister Moves (2010) (1)
On the map theorem (2001) (1)
An invariant of link concordance (1974) (1)
Topological Surgery in the Small and in the Large (2016) (1)
Unoriented Khovanov Homology (2020) (1)
Virtual Logic - symbolic logic and the calculus of indications (1998) (1)
Combinatorial Knot Theory and the Jones Polynomial (2022) (1)
Z2 topological order and Majorana doubling in Kitaev Chain Model (2017) (1)
REFLEXIVITY , EIGENFORM AND FOUNDATIONS OF PHYSICS (1)
Invariants in Low-Dimensional Topology (2008) (1)
Virtual Logic-Set Theory and the Continuum Hypothesis (2014) (1)
Iterants, Majorana Fermions and the Majorana-Dirac Equation (2021) (1)
Encyclopedia of Knot Theory (2021) (1)
Non-Commutative Worlds - Classical Constraints, Relativity and the Bianchi Identity (2011) (1)
Chapter 10. A 3-Manifold Invariant by State Summation (1994) (1)
Reformulating the Map (2001) (1)
Tales of topology. (1994) (1)
Equivalence Classes of Colorings: the Topological Viewpoint (2012) (1)
Braiding , Majorana Fermions and Topological Quantum Computing (2016) (1)
Unitary Representations of the Artin Braid Groups and Quantum Algorithms for Colored Jones Polynomials and the Witten-Reshetikhin Invariant (2008) (1)
Steenrod square for virtual links toward Khovanov-Lipshitz-Sarkar stable homotopy type for virtual links (2020) (1)
Quantum knots and knotted zeros (2019) (1)
Virtual logic - formal arithmetic (2000) (1)
Weaving patterns and polynomials (1980) (1)
Hopf algebras and generalizations : AMS Special Session on Hopf Algebras at the Crossroads of Algebra, Category Theory, and Topology, October 23-24, 2004, Evanston, Illinois (2007) (1)
Invariants in Low-Dimensional Topology and Knot Theory (2012) (1)
Chapter 7. Recoupling Theory Via Temperley-Lieb Algebra (1994) (1)
RETRACTED: List of Contributors (2013) (0)
Eigenform Encoding and Spacetime (2017) (0)
Many Forms of Circularity (2016) (0)
Distance Estimation in Complex Space (2002) (0)
Oriented Quantum Algebras and Coalgebras, Invariants of Oriented 1-1 Tangles, Knots and Links (2010) (0)
A SHORT COURSE OF KNOTS AND PHYSICS (2013) (0)
Super twist spinning (1990) (0)
RETRACTED: The Matrix We Call Mereon (2013) (0)
Braiding Operators are Universal Quantum (2004) (0)
A Review of Majorana fermions and the laws of form (2022) (0)
Multiple viewpoint — A review essay (1983) (0)
XVI. AN INVARIANT FOR COVERINGS (1988) (0)
3 2 4 A pr 2 00 6 Spin Networks and Anyonic Topological Computing (2006) (0)
2 7 N ov 2 00 3 On the Classification of Rational Knots (2008) (0)
PART I: A SHORT COURSE OF KNOTS AND PHYSICS (1991) (0)
IX. THE ALEXANDER POLYNOMIAL AND BRANCHED COVERINGS (1988) (0)
Laws of Form, Peirce, and Cantor (2019) (0)
KNOT TABLES AND THE L-POLYNOMIAL (1988) (0)
Distance Estimation in Higher Dimensional Spaces (2002) (0)
VII. SPANNING SURFACES AND THE SEIFERT PAIRING (1988) (0)
What Lies Beyond Language (2020) (0)
States, Knots and Networks (2004) (0)
2 2 Ju l 2 00 5 Virtual Braids and the L – Move (2008) (0)
2 J ul 2 02 1 Centrality and the KRH Invariant (2021) (0)
Correction to: Braiding, Majorana fermions, Fibonacci particles and topological quantum computing (2018) (0)
Mereon Thoughts – Knots and Beyond (2018) (0)
Foreword: Ranulph Glanville and How to Live the Cybernetics of Unknowing A Festschrift Celebration of the Influence of a Researcher (2015) (0)
Edge colourings and topological graph polynomials (2018) (0)
XV. SIGNATURE OF CYCLIC BRANCHED COVERINGS (1988) (0)
Virtual Logic - Thoughts about Set Theory (2003) (0)
Including and Beyond the Point (2018) (0)
Virtual Logic-Laws of Form and the Mobius Band (2015) (0)
Virtual logic - self-reference and the calculus of indications (1998) (0)
Virtual Crossing Number and the Arrow (2009) (0)
STATE MODELS FOR KNOT POLYNOMIALS AN INTRODUCTION (2007) (0)
ER = EPR, entanglement topology and tensor networks (2022) (0)
author's Response distinction, eigenform and the epistemology of the Imagination (2016) (0)
A Persistent Little Tangle: The Chefalo Rope Trick (2023) (0)
Remembering Slavik Jablan (2016) (0)
The Core – Sharp Distinctions to Elegant Curves (2018) (0)
Majorana fermions and representations of the artin braid group (2018) (0)
A concise approach to eigenform and reflexivity (2017) (0)
Book Review of "Virtual Knot Theory - The State of the Art" by Vassily Manturov and Denis Ilyutko, World Scientific (2012), ISBN: 978-981-4401-12-8 (2012) (0)
Remembrance: Slavik Jablan (1952–2015) (2016) (0)
Tales of Topology: The Knot Book . An Elementary Introduction to the Mathematical Theory of Knots. Colin C. Adams. Freeman, New York, 1994. xiv, 306 pp., illus. $32.95. (1994) (0)
Uncolorable Brunnian Links are Linked (2022) (0)
Entanglement and the topology of tensor nets (Conference Presentation) (2020) (0)
A brief history of (second-order) cybernetics (2017) (0)
Virtual Boundaries (2006) (0)
Review of “ Virtual Knot Theory-The State of the Art ” by Vassily Manturov and Denis Ilyutko (2014) (0)
Virtual Logic-The Erdos Machine (2018) (0)
Virtual logic - The Smullyan Machine (1998) (0)
PART II: KNOTS AND PHYSICS – MISCELLANY (1991) (0)
Chapter 6. θ-Evaluations (1994) (0)
A Central-Example Seminar (1976) (0)
Quaternion Mandelbrot Sets (2002) (0)
The shuffle Hopf algebra and quasiplanar Wick products (2016) (0)
The Context – Form Informing Function (2018) (0)
Khovanov-Lipshitz-Sarkar homotopy type for links in thickened surfaces and those in $S^3$ with new modulis (2021) (0)
Virtual Logic: Cantor's Paradise and the Parable of Frozen Time (2009) (0)
Non-Commutative Worlds and Relativity (2021) (0)
Extending the Classical Skein (2016) (0)
Topological aspects of quantum entanglement (2019) (0)
Virtual Logic-The Yablo Paradox (2014) (0)
Virtual logic - The MetaGame Paradox (1999) (0)
Reviews (2004) (0)
Virtual Logic-Cookie and Parabel Discuss Laws of Form (2017) (0)
OBITUARY – Professor Miki Wadati (1945-2011) (2011) (0)
THE MATHEMATICS OF KNOTS: THEORY AND APPLICATION CONFERENCE PROGRAM (2008) (0)
RETRACTED: Meme, Pattern and Perspective (2013) (0)
Supplementary material from "Knot polynomials of open and closed curves" (2020) (0)
Virtual Logic-Finite Language and the Imagination of Infinity (2016) (0)
Virtual Logic - The Square Root of Two (2010) (0)
ec 2 00 5 Color spectra and coloring conjectures (2005) (0)
A pr 2 00 3 Continuous Quantum Hidden Subgroup Algorithms (2003) (0)
04 03 22 8 v 1 3 0 M ar 2 00 4 States , Knots and Networks (2004) (0)
Flow and Scale (2018) (0)
Reflections on reflexivity (2021) (0)
Chapter 11. The Shadow World (1994) (0)
BOOK REVIEW OF "VIRTUAL KNOT THEORY — THE STATE OF THE ART" BY VASSILY OLEGOVICH MANTUROV AND DENIS PETROVICH ILYUTKO (2012) (0)
Appendix 4. A mathematician’s glossary of terms for non-mathematicians (1995) (0)
Virtual Knot Theory and Virtual Knot Cobordism (2016) (0)
XIX. SINGULARITIES, KNOTS AND BRIESKORN VARIETIES (1988) (0)
Chapter 2. Bracket Polynomial, Temperley-Lieb Algebra (1994) (0)
Chapter 8. Chromatic Evaluations and the Tetrahedron (1994) (0)
Imaginary Values (2017) (0)
Answer to a Question by Nakamura, Nakanishi, and Satoh involving crossing numbers of knots (2018) (0)
J un 2 00 0 Oriented Quantum Algebras , Categories and Invariants of Knots and Links (2008) (0)
Author’s Response: Eigenform, Action, the Continuous and the Discrete (2017) (0)
An Introduction to Knot Theory and Functional Integrals (1997) (0)
Chapter 13. Blinks ↦ 3-Gems: Recognizing 3-Manifolds (1994) (0)
Laws of Form and Topology: Presentation and Discussion (2013) (0)
Virtual Logic-Syllogisms (2004) (0)
The Borromean Rings - A Tripartite Topological Relationship (2006) (0)
RETRACTED: Introduction: Sustainability (2013) (0)
Chapter 6 – RETRACTED: The Mereon 120/180 – Form Informing Function (2013) (0)
Remembrance of Things Past (2016) (0)
RETRACTED: Flow and Scale (2013) (0)
A Combinatorial Algorithm for Computing Higher Order Linking Numbers (2014) (0)
Virtual logic - infinitesimals and zero numbers (2000) (0)
Rejoinder to comfort (1982) (0)
A New Classical Link Invariant defined via Virtual Links and Quantum Invariants of 3-Manifolds with Boundary (2021) (0)
Color spectra and coloring conjectures (2005) (0)
2 2 4 N ov 1 99 8 On the Links – Gould Invariant of Links (1998) (0)
Virtual Logic: The Berry Paradox and Chaitin's Theory of Algorithmic Complexity (2008) (0)
1 1 2 A pr 2 00 3 Entanglement Criteria-Quantum and Topological (2003) (0)
Conway’s Mathematics After Conway (2022) (0)
Invariants of Links and Three-Manifolds via Hopf Algebras (2021) (0)
XIV. G-SIGNATURE THEOREM FOR FOUR MANIFOLDS (1988) (0)
III. THE CONWAY POLYNOMIAL (1988) (0)
Contemporary Mathematics Biologic (0)
Appendix: General Discussion (2013) (0)
A tale of 2 amateurs who crossed cultural frontiers with Boole symbolical algebra-with a mathematical commentary by Kauffman, Louis, H.-special-issue (1995) (0)
2 7 N ov 2 00 3 On the classification of rational tangles (2003) (0)
RETRACTED: Building on the Known: A QuintEssential Jitterbug (2013) (0)
ABSTRACTS OF TALKS PRESENTED TO THE INDIANA (2016) (0)
Biologic-An Introduction (2016) (0)
Quantum Invariants of Links and 3-Manifolds with Boundary deﬁned via Virtual (2023) (0)
Iterants and the Dirac Equation (2019) (0)
Applying Mereon to Knowledge Domains (2018) (0)
Virtual Logic-Number and Imagination (2011) (0)
Quantum Computing Implemented via Optimal Control: Application to Spin and Pseudospin Systems (2016) (0)
VASSILIEV INVARIANTS AND FUNCTIONAL INTEGRATION (2001) (0)
Diagrammatic quantum mechanics (2015) (0)
Enaction Mathematical Work of Francisco Varela (2017) (0)
KNOT THEORY (2015) (0)
V. DETECTING SLICES AND RIBBONS— A FIRST PASS (1988) (0)
Virtual Logic - The Small Machine (2007) (0)
X. THE ALEXANDER POLYNOMIAL AND THE ARF INVARIANT (1988) (0)
A meeting with Patrick (2022) (0)
Chapter 14. Tables of Quantum Invariants (1994) (0)
Chapter 4. The 3-Vertex (1994) (0)
Dynamics in Terms of Differential Equations and Recursions (2020) (0)
Hypercomplex Iterations in a Nutshell (2002) (0)
Meme, Pattern and Perspective (2018) (0)
Connections, Ligatures and Knots (2018) (0)
Virtual Logic-Circularity, Knots and the ASC (2010) (0)
5 From Tangle Fractions to DNA (0)
QUANTUM TOPOLOGY AND QUANTUM INFORMATION (2007) (0)
XIII. SIGNATURE THEOREMS (1988) (0)
Calculus, Gauge Theory and Noncommutative Worlds (2021) (0)
XII. CYCLIC BRANCHED COVERINGS (1988) (0)
Pure virtual braids homotopic to the identity braid (2009) (0)
BANFF WORKSHOP PROPOSAL: KNOT THEORY AND VIRTUAL KNOT THEORY (2014) (0)
II. LINKING NUMBERS AND REIDEMEISTER MOVES (1988) (0)
KNOTS AND PHYSICS- MISCELLANY (2013) (0)
Book Review: Subfactors and knots (1994) (0)
Virtual Logic-Extainers, Containers and the Logic of DNA (2013) (0)
RETRACTED: The Core – Sharp Distinctions to Elegant Curves (2013) (0)
Chapter 9. A Summary of Recoupling Theory (1994) (0)
Quantum algorithms for colored Jones polynomials (2009) (0)
Quantum knots and knotted zeros: part II (Conference Presentation) (2019) (0)
An Upper Bound on the Number of Reidemeister Moves Required to Unknot an Unknot (2010) (0)
Topological-like Features in Diagrammatical Quantum Circuits 1 (2007) (0)
Inverse Iteration: An Interactive Visualization (2002) (0)
A Survey of Knot Theory Diagrams and the Interrelation of Topological Phase Transitions (2021) (0)
Ju n 20 05 Virtual Biquandles (2005) (0)
Knot polynomials of open and closed curves - Supplementary Information (2020) (0)
Braiding, Majorana fermions, Fibonacci particles and topological quantum computing (2018) (0)
XI. FREE DIFFERENTIAL CALCULUS (1988) (0)
eb 2 00 5 Virtual Knots and Links (2005) (0)
A ug 2 02 1 Calculus , Relativity and Non-Commutative Worlds (2021) (0)
Extended topological quantum computing (2013) (0)
Brieskorn submanifolds, local moves on knots, and knot products (2015) (0)
The sixth Russian-Chinese conference on knot theory and related topics (2020) (0)
The Jones Polynomial - Diagrams and Categories (2022) (0)
Quantum algorithms for the Jones polynomial and Khovanov homology (2012) (0)
Braiding, Majorana Fermions and the Dirac Equation (2018) (0)
Correction to: Braiding, Majorana fermions, Fibonacci particles and topological quantum computing (2018) (0)
Topology and Quantum Information (2006) (0)
On Vassiliev Invariants of Virtual Knots (2022) (0)
Ju n 20 06 Virtual Braids and the L – Move (2008) (0)
Ray Tracing Methods by Distance Estimation (2002) (0)
Chapter 5. Properties of Projectors and 3-Vertices (1994) (0)
Colorings beyond Fox : the other linear (2018) (0)
J un 2 01 6 A State Calculus for Graph Coloring (2018) (0)
Laws Of Form and the Riemann Hypothesis (2020) (0)
Book Review: A survey of knot theory (1999) (0)
Projectors in the Virtual Temperley-Lieb Algebra (2021) (0)
STATISTICAL MECHANICS AMD THE JONES POLYNOMIAL (1990) (0)
Entanglement and the topology of tensor networks (2021) (0)
VIII. RIBBONS AND SLICES (1988) (0)
Quaternions and the Dirac String Trick (2002) (0)
Topology of Vortex Reconnection (2022) (0)
Berry Phase in Yang-Baxter Approach Related to Entangled States and the Yang-Baxterization of Braid Relation for Two-state Anyon Model (2008) (0)
L.H.カウフマン・インタビュ---図式をとおして数学をみる (1996) (0)
ec 2 00 2 On the Classification of Rational Knots (2009) (0)
Review of "Knots" by Alexei Sossinsky, Harvard University Press, 2002, ISBN 0-674-00944-4 (2003) (0)
Knot Dynamics (2021) (0)
2 A Mathematical Model for Flat Knotted Ribbons (2004) (0)
Quaternion Deterministic Fractals in Virtual Reality (2002) (0)
A pr 2 01 4 Quantum Diagrams and Quantum Networks (2019) (0)
Deterministic Fractals and Distance Estimation (2002) (0)
Contemporary Mathematics Quantum Computing and the Jones Polynomial (2002) (0)
Ja n 20 04 Braiding Operators are Universal Quantum Gates (2004) (0)
2 The 1 + 1 Dirac Equation in Light Cone Coordinates (1996) (0)
Chapter 12. The Witten-Reshetikhin- Turaev Invariant (1994) (0)
PROPOSAL : KNOT THEORY AND VIRTUAL KNOT THEORY (2014) (0)
On the existence of infinitely many knots with the same Alexander invariants (2016) (0)
Virtual Logic-The Logic of Quantum Theory (2017) (0)
Knots and complex systems (1995) (0)
A Construction for Clifford Algebras (2022) (0)
XVIII. CALCULATING σr FOR GENERALIZED STEVEDORE’S KNOT (1988) (0)
RETRACTED: Mereon Thoughts – Knots and Beyond (2013) (0)
Virtual Logic-George Spencer-Brown (2 April 1923 - 25 August 2016) (2016) (0)
Author’s Response: Self-Reference and the Self (2017) (0)
XVII. SLICE KNOTS (1988) (0)
1 2 2 O ct 2 00 6 Virtual Extension of Temperley – Lieb Algebra (2021) (0)
Virtual Logic-The Combinatorial Hierarchy: 'One, Two, Three, Infinity!' (2012) (0)
A State Sum Link Invariant of Regular Isotopy (2007) (0)
Braiding of Majorana fermions, topological quantum computation and the nature of Clifford algebras (2016) (0)
V. O. Manturov Parity in knot theory (2018) (0)
Travels with Epsilon in Sign and Space (2020) (0)
2 Spin Networks and Temperley – Lieb Recoupling Theory (2007) (0)
Chapter 3. Jones-Wenzl Projectors (1994) (0)
IV. EXAMPLE S AND SKEIN THEORY (1988) (0)
Levine's theorem- a remark (1982) (0)

This paper list is powered by the following services:

Other Resources About Louis Kauffman

en.wikipedia.org

What Schools Are Affiliated With Louis Kauffman?

Louis Kauffman is affiliated with the following schools:

Image Attributions

Image Source for Louis Kauffman