Vladimir Turaev
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Russian mathematician
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Why Is Vladimir Turaev Influential?
(Suggest an Edit or Addition)According to Wikipedia, Vladimir Georgievich Turaev is a Russian mathematician, specializing in topology. Turaev received in 1979 from the Steklov Institute of Mathematics his Candidate of Sciences degree under Oleg Viro. Turaev was a professor at the University of Strasbourg and then became a professor at Indiana University. In 2016 he was elected a Fellow of the American Mathematical Society.
Vladimir Turaev'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
- Quantum Invariants of Knots and 3-Manifolds (1994) (1511)
- Invariants of 3-manifolds via link polynomials and quantum groups (1991) (1462)
- Ribbon graphs and their invaraints derived from quantum groups (1990) (1126)
- State sum invariants of 3 manifolds and quantum 6j symbols (1992) (1065)
- The Yang-Baxter equation and invariants of links (1988) (566)
- Skein quantization of Poisson algebras of loops on surfaces (1991) (290)
- Introduction to Combinatorial Torsions (2001) (268)
- Reidemeister torsion in knot theory (1986) (238)
- Homotopy field theory in dimension 3 and crossed group-categories (2000) (217)
- Conway and Kauffman modules of a solid torus (1990) (198)
- Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions (1997) (186)
- OPERATOR INVARIANTS OF TANGLES, AND R-MATRICES (1990) (183)
- Torsion invariants of $Spin^c$-structures on 3-manifolds (1997) (178)
- QUANTUM INVARIANTS OF 3-MANIFOLDS ASSOCIATED WITH CLASSICAL SIMPLE LIE ALGEBRAS (1993) (153)
- Torsions of 3-Dimensional Manifolds (2003) (140)
- Quasi-Poisson structures on representation spaces of surfaces (2012) (132)
- Homotopy Quantum Field Theory (2010) (129)
- Monoidal Categories and Topological Field Theory (2017) (119)
- Problems on invariants of knots and 3-manifolds (2004) (118)
- Invariants of knots and 3-manifolds from quantum groupoids (2000) (106)
- Modified quantum dimensions and re-normalized link invariants (2007) (105)
- Homotopy field theory in dimension 2 and group-algebras (1999) (101)
- Shadow links and face models of statistical mechanics (1992) (90)
- Quantum invariants of knots and three manifolds (1994) (83)
- a Simple Proof of the Murasugi and Kauffman Theorems on Alternating Links (1990) (76)
- Modular categories and 3-manifold invariants (1992) (74)
- ON TWO APPROACHES TO 3-DIMENSIONAL TQFTS (2010) (69)
- EULER STRUCTURES, NONSINGULAR VECTOR FIELDS, AND TORSIONS OF REIDEMEISTER TYPE (1990) (68)
- A combinatorial formulation for the Seiberg-Witten invariants of 3-manifolds (1998) (65)
- Poincar\'e - Reidemeister metric, Euler structures, and torsion (1998) (60)
- Quantum Groups and Knot Invariants (1997) (55)
- INTERSECTIONS OF LOOPS IN TWO-DIMENSIONAL MANIFOLDS (1979) (53)
- Algebras of Loops on Surfaces, Algebras of Knots, and Quantization (1991) (48)
- Unoriented topological quantum field theory and link homology (2005) (48)
- Cobordism of knots on surfaces (2007) (47)
- Milnor invariants and Massey products (1979) (47)
- Virtual strings@@@Cordes virtuelles (2004) (47)
- Quantum invariants of 3-manifold and a glimpse of shadow topology (1992) (45)
- Chord diagram invariants of tangles and graphs (1998) (45)
- Semisimple and modular categories from link invariants (1997) (44)
- Quantum invariants of links and 3-valent graphs in 3-manifolds (1993) (42)
- Double construction for monoidal categories (1995) (41)
- Torsions of 3-manifolds (2002) (38)
- Fox pairings and generalized Dehn twists (2011) (37)
- Knots and words (2005) (36)
- COHOMOLOGY RINGS, LINKING FORMS AND INVARIANTS OF SPIN STRUCTURES OF THREE-DIMENSIONAL MANIFOLDS (1984) (33)
- On Reciprocity (2005) (32)
- On 3-dimensional homotopy quantum field theory II: The surgery approach (2012) (32)
- Reidemeister Torsion and the Alexander Polynomial (1976) (31)
- THE ALEXANDER POLYNOMIAL OF A THREE-DIMENSIONAL MANIFOLD (1975) (31)
- A cocycle for the symplectic first chern class and the maslov index (1984) (31)
- Lectures on topology of words (2006) (30)
- Modified 6j-Symbols and 3-Manifold Invariants (2009) (30)
- Integrals for braided Hopf algebras (1997) (29)
- A COMPACTIFICATION OF THE HURWITZ SPACE (1999) (28)
- Nilpotent homotopy types of closed 3-manifolds (1984) (28)
- THREE-DIMENSIONAL POINCARÉ COMPLEXES: HOMOTOPY CLASSIFICATION AND SPLITTING (1990) (27)
- A homological estimate for the Thurston norm (2002) (27)
- Quantum Invariants of 3-manifolds (2005) (27)
- Faithful Linear Representations of the Braid Groups (2000) (26)
- Tetrahedral forms in monoidal categories and 3-manifold invariants (2010) (25)
- Weyl algebras and knots (2006) (24)
- Biquantization of Lie bialgebras (1998) (23)
- Surgery formula for torsions and Seiberg-Witten invariants of 3-manifolds (2001) (22)
- A Lagrangian representation of tangles (2004) (22)
- Topology of words (2005) (21)
- Absolute torsion (1998) (20)
- A generalization of several classical invariants of links (2006) (19)
- Towards the topological classification of geometric 3-manifolds (1988) (19)
- First symplectic Chern class and Maslov indices (1987) (19)
- COBORDISMS OF WORDS (2008) (18)
- A norm for the cohomology of 2-complexes (2002) (18)
- Formal Homotopy Quantum Field Theories, I: Formal Maps and Crossed C-algebras. (2005) (18)
- Dijkgraaf–Witten invariants of surfaces and projective representations of groups (2007) (18)
- Virtual strings and their cobordisms (2003) (18)
- Counting Lattice Points of Rational Polyhedra (2000) (17)
- On the graded center of graded categories (2012) (16)
- Classification of oriented montesinos links via spin structures (1988) (16)
- Loops on surfaces, Feynman diagrams, and trees (2004) (15)
- Reciprocity for Gauss sums on finite abelian groups (1998) (15)
- Trigonometric Solutions of the Yang-Baxter Equation, Nets, and Hypergeometric Functions (1995) (14)
- Quantum Invariants of Knots and 3-Manifolds - Toc (2016) (14)
- On the Definition of $2$-Category of $2$-Knots (1993) (14)
- Quantum groups and ribbon G-categories (2001) (13)
- Curves on Surfaces, Charts, and Words (2004) (13)
- Homeomorphisms of geometric three-dimensional manifolds (1988) (13)
- INTERSECTIONS OF LOOPS IN TWO-DIMENSIONAL MANIFOLDS. II. FREE LOOPS (1984) (13)
- A semigroup of theta-curves in 3-manifolds (2010) (12)
- A function on the homology of 3-manifolds (2006) (11)
- On certain enumeration problems in two-dimensional topology (2008) (10)
- Link homology and unoriented topological quantum field theory (2005) (10)
- Systems of Correlators and Solutions of the WDVV Equations (1998) (9)
- Brackets in the Pontryagin algebras of manifolds (2013) (8)
- MULTIPLACE GENERALIZATIONS OF THE SEIFERT FORM OF A CLASSICAL KNOT (1983) (8)
- Coalgebras of words and phrases (2004) (8)
- Category of oriented tangles and its representations (1989) (8)
- Brackets in representation algebras of Hopf algebras (2015) (8)
- Loops in Surfaces and Star-Fillings (2019) (7)
- HIGHER SKEIN MODULES (1998) (7)
- Poisson-Gerstenhaber brackets in representation algebras (2013) (7)
- Kuperberg and Turaev–Viro invariants in unimodular categories (2018) (6)
- Complexity of virtual 3-manifolds (2016) (6)
- On 3-dimensional homotopy quantum field theory III: Comparison of two approaches (2019) (5)
- Three-dimensional manifolds with poor spines (2015) (5)
- Virtual strings (2003) (5)
- Axioms for topological quantum field theories (1994) (5)
- Topological constructions of tensor fields on moduli spaces (2019) (4)
- THE FUNDAMENTAL GROUPS OF MANIFOLDS AND POINCARÉ COMPLEXES (1981) (4)
- The Tambara-Yamagami categories and 3-manifold invariants (2010) (3)
- Dijkgraaf-Witten invariants over ℤ2 for 3-manifolds (2015) (3)
- Enumeration of lifts of commuting elements of a group (2009) (3)
- M ay 1 99 8 POINCARÉ-REIDEMEISTER METRIC , EULER STRUCTURES , AND TORSION (2008) (3)
- A Lagrangian representation of tangles II (2006) (3)
- Marked fatgraph complexes and surface automorphisms (2012) (3)
- Remarks on $2$–dimensional HQFTs (2009) (3)
- Quasi-Poisson structures on moduli spaces of quasi-surfaces (2020) (3)
- Nielsen numbers and fixed points of mappings of bouquets of circles (1984) (2)
- Quasi-Lie bialgebras of loops in quasisurfaces (2020) (2)
- Jones-type invariants of tangles (1990) (2)
- Trimming of finite metric spaces (2016) (2)
- Brackets in loop algebras of manifolds (2013) (2)
- Trimming of metric spaces and the tight span (2017) (2)
- Braids and Braid Groups (2008) (2)
- Matching groups and gliding systems (2014) (2)
- Knot theory for self-indexed graphs (2003) (2)
- Generalities on Torsions (2002) (1)
- The Torsion Norm (2002) (1)
- Presentations of SL 2 (Z) and PSL 2 (Z) (2008) (1)
- Quantum Representations of Modular Groups and Maslov Indices (1992) (1)
- Reidemeister torsion and group invariants of three-dimensional manifolds (1979) (1)
- Homological Representations of the Braid Groups (2008) (1)
- Axiomatic phylogenetics (2017) (1)
- The Birman–Murakami–Wenzl Algebras (2008) (1)
- Cobordism of words (2005) (1)
- Dijkgraaf–Witten Z2-invariants for Seifert manifolds (2017) (1)
- Sections of fiber bundles over surfaces and TQFTs (2010) (1)
- Sections of fiber bundles over surfaces (2009) (1)
- Classification of oriented Montesinos links by invariants of spin structures (1987) (1)
- The Torsion Function (2002) (1)
- Appendix IV. The signature of closed 4-manifolds from a state sum (2020) (0)
- Additive posets, CW-complexes, and graphs (2016) (0)
- G T ] 1 6 O ct 2 00 6 WEYL ALGEBRAS and KNOTS (2021) (0)
- Chapter VI. 6j-symbols (2010) (0)
- Chapter XI. An algebraic construction of modular categories (2010) (0)
- Surgery Formulas for Torsions (2002) (0)
- BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY (1995) (0)
- Chapter I. Invariants of graphs in Euclidean 3-space (2010) (0)
- Marked fatgraph complexes and surface automorphisms (2012) (0)
- Chapter XII. A geometric construction of modular categories (2010) (0)
- Ribbon graphs in 3-manifolds (2017) (0)
- G T ] 1 4 Ju n 20 04 A Lagrangian representation of tangles (2004) (0)
- Spin c Structures (2002) (0)
- Representations of the Iwahori–Hecke Algebras (2008) (0)
- Hopf algebras in braided categories (2017) (0)
- Fibrations and Homotopy Sequences (2008) (0)
- Euler Structures on 3-manifolds (2002) (0)
- A Gluing Formula with Applications (2002) (0)
- Chapter II. Invariants of closed 3-manifolds (2010) (0)
- The state sum graph TQFT (2017) (0)
- Torsion of Rational Homology Spheres (2002) (0)
- The Torsion versus the Cohomology Rings (2002) (0)
- Chapter VIII. Generalities on shadows (2010) (0)
- Dijkgraaf-Witten invariants over ℤ2 for 3-manifolds (2015) (0)
- Three-dimensional manifolds with poor spines (2015) (0)
- An Order on the Braid Groups (2008) (0)
- G T ] 2 A pr 2 01 0 Remarks on 2-dimensional HQFT ’ s (2010) (0)
- Monadicity of the center (2017) (0)
- Homology category of 3-manifolds (1999) (0)
- Three-dimensional homology spheres and links with Alexander polynomial 1 (1984) (0)
- The Torsion versus the Alexander-Fox Invariants (2002) (0)
- Chapter V. Two-dimensional modular functors (2010) (0)
- Monads and bimonads (2017) (0)
- Surgery HQFT (2013) (0)
- Skeletons of 3-manifolds (2017) (0)
- Chapter III. Foundations of topological quantum field theory (2010) (0)
- Symmetric Groups and Iwahori–Hecke Algebras (2008) (0)
- Braids, Knots, and Links (2008) (0)
- Algebraic Theory of Torsions (2001) (0)
- Chapter IX. Shadows of manifolds (2010) (0)
- Homology Orientations in Dimension Three (2002) (0)
- Chapter X. State sums on shadows (2010) (0)
- FOX PAIRINGS AND GENERALIZED DEHN TWISTS by Gwénaël MASSUYEAU (2014) (0)
- Topological Quantum Field Theory (2017) (0)
- Topological Theory of Torsions (2001) (0)
- Chapter IV. Three-dimensional topological quantum field theory (2010) (0)
- Properties of the state sum graph TQFT (2017) (0)
- The center of a monoidal category (2017) (0)
- Monoidal categories and functors (1998) (0)
- Garside Monoids and Braid Monoids (2008) (0)
- A link with nonsymmetric second elementary ideal (1990) (0)
- 70 90 20 v 1 1 2 Se p 19 97 Integrals for braided Hopf algebras (2000) (0)
- Appendix I. Dimension and trace re-examined (2016) (0)
- Multiplicity modules and colored graphs (2017) (0)
- 81T20 Quantum field theory on curved space or space-time backgrounds 81S40 Path integrals in quantum mechanics 58J28 Eta-invariants, Chern-Simons invariants 39A12 Discrete version of topics in analysis 81T16 Nonperturbative methods of renormalization applied to problems in quantum field theory (2021) (0)
- Left Self-Distributive Sets (2008) (0)
- Chapter VII. Simplicial state sums on 3-manifolds (2010) (0)
- The state sum TQFT (2017) (0)
- Dimer spaces and gliding systems (2012) (0)
- Appendix III. Gluing re-examined (2016) (0)
- Multi-quandles of topological pairs (2022) (0)
- Applications of Reidemeister Torsions to 3-dimensional Topology (2019) (0)
- The graphical calculus (2017) (0)
- Appendix II. Vertex models on link diagrams (2016) (0)
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