Sylvain Cappell | Academic Influence

Sylvain Cappell's AcademicInfluence.com Rankings

Sylvain Cappell

Mathematics

#1495

World Rank

#2444

Historical Rank

#615

USA Rank

Measure Theory

#3244

World Rank

#3836

Historical Rank

#941

USA Rank

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Mathematics

Sylvain Cappell's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Columbia University

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Why Is Sylvain Cappell Influential?

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According to Wikipedia, Sylvain Edward Cappell , a Belgian American mathematician and former student of William Browder at Princeton University, is a topologist who has spent most of his career at the Courant Institute of Mathematical Sciences at NYU, where he is now the Silver Professor of Mathematics.

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Sylvain Cappell'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

On the maslov index (1994) (324)
The Codimension Two Placement Problem and Homology Equivalent Manifolds (1974) (164)
Some new four-manifolds (1976) (102)
A splitting theorem for manifolds (1976) (93)
Genera of algebraic varieties and counting of lattice points (1994) (90)
Stratifiable maps and topological invariants (1991) (84)
Unitary nilpotent groups and Hermitian $K$-theory. I (1974) (77)
On four dimensional surgery and applications (1971) (68)
Self-Adjoint Elliptic Operators and Manifold Decompositions Part I: Low Eigenmodes and Stretching (1996) (64)
Singular spaces, characteristic classes, and intersection homology (1991) (61)
Princeton University Press eBook Package 2014 (2001) (56)
Computing twisted signatures and L-classes of stratified spaces (2003) (55)
There exist inequivalent knots with the same complement (1976) (54)
Self‐adjoint elliptic operators and manifold decompositions Part II: Spectral flow and Maslov index (1996) (53)
Hodge genera of algebraic varieties I (2006) (49)
Pseudo-free actions, I (1979) (48)
Euler-MacLaurin expansions for lattices above dimension one (1995) (44)
Euler characteristics of algebraic varieties (2006) (43)
Fixed points of periodic differentiable maps (1982) (40)
Characteristic classes of complex hypersurfaces (2009) (39)
Mayer-vietoris sequences in hermitian K-theory (1973) (38)
Manifolds with fundamental group a generalized free product. I (1974) (38)
On homotopy invariance of higher signatures (1976) (36)
Cohomology of harmonic forms on Riemannian manifolds with boundary (2005) (36)
A symplectic geometry approach to generalized Casson's invariants of 3-manifolds (1990) (35)
NONLINEAR SIMILARITY BEGINS IN DIMENSION SIX (1989) (31)
On 4-dimensional $s$-cobordisms (1985) (31)
Hodge genera of algebraic varieties, II (2006) (30)
A splitting theorem for manifolds and surgery groups (1971) (29)
On connected sums of manifolds (1974) (28)
A counterexample on the oozing problem for closed manifolds (1979) (26)
Complex‐valued analytic torsion for flat bundles and for holomorphic bundles with (1,1) connections (2008) (26)
Linear algebra and topology (1979) (25)
Piecewise Linear Embeddings and Their Singularities (1976) (24)
Homology propagation of group actions (1987) (23)
Hodge genera and characteristic classes Of complex algebraic varieties (2008) (23)
Equivariant Characteristic Classes of Singular Complex Algebraic Varieties (2010) (22)
Nonlinear similarity of matrices (1979) (21)
Invariants of 3-manifolds (1975) (21)
Characteristic classes of symmetric products of complex quasi-projective varieties (2010) (19)
Imbeddings and homology cobordisms of lens spaces (1988) (17)
Fixed points of periodic maps. (1980) (17)
Characteristic classes of Hilbert schemes of points via symmetric products (2012) (15)
Topological knots and knot cobordism (1973) (15)
Equivariant characteristic classes of complex algebraic varieties (2010) (14)
A perturbative SU(3) Casson invariant (2000) (14)
SELF-ADJOINT ELLIPTIC OPERATORS AND MANIFOLD DECOMPOSITIONS. PART III : DETERMINANT LINE BUNDLES AND LAGRANGIAN INTERSECTION (1999) (12)
The topological rationality of linear representations (1982) (12)
Splitting obstructions for Hermitian forms and manifolds with $Z_2 \subset \pi _1$ (1973) (12)
TOTALLY SPINELESS MANIFOLDS (1977) (11)
Equivariant Genera of Complex Algebraic Varieties (2009) (11)
BRANCHED CYCLIC COVERINGS (1975) (10)
The Mapping Cone and Cylinder of a Stratified Map (1996) (10)
Invariants of 3-manifolds from conformal field theory (1991) (9)
Characteristic classes, singular embeddings, and intersection homology. (1987) (9)
On four-dimensionals-cobordisms, II (1989) (9)
Nonlinear similarity and differentiability (1985) (9)
Some Problems in Number Theory I: The Circle Problem (2007) (9)
Smooth nontrivial 4-dimensional $s$-cobordisms (1987) (8)
Replacement of Fixed Sets and of their Normal Representations in Transformation Groups of Manifolds (1996) (8)
Submanifolds, group actions and knots. II (1972) (8)
Intersection cohomology invariants of complex algebraic varieties (2007) (7)
Closed aspherical manifolds with center (2011) (7)
Surgery theoretic methods in group actions (2001) (7)
Which H-spaces are manifolds? I (1988) (7)
A simple construction of Atiyah-Singer classes and piecewise linear transformation groups (1991) (7)
Surgery formulae for analytical invariants of manifolds (2001) (6)
Class numbers and periodic smooth maps (1983) (6)
The classification of nonlinear similarities over ${\text{Z}}_{2^r }$ (1990) (6)
A note on the Smith conjecture (1978) (6)
Common Tangents and Common Transversals (2018) (6)
Close Codimension Two Embeddings of Even Dimensional Manifolds (1975) (5)
The combinatorial complexity of hyperplane transversals (1990) (5)
A guide to the calculation of surgery obstruction groups. (2000) (5)
A Geometric Interpretation of Siebenmann’s Periodicity Phenomenon (2020) (4)
Submanifolds of codimension two and homology equivalent manifolds (1973) (4)
A trichotomy theorem for transformation groups of locally symmetric manifolds and topological rigidity (2016) (4)
Spectral flows on manifolds after cutting and pasting (1992) (3)
The Torelli group action on representation spaces (2000) (3)
Construction of some new four-dimensional manifolds (1976) (3)
Corrigendum to: Smooth nontrivial 4-dimensional $s$-cobordisms (1987) (3)
Link cobordism (1980) (3)
THE TOPOLOGY OF LINEAR REPRESENTATIONS OF GROUPS AND SUBGROUPS (1982) (3)
Replacement of fixed sets for compact group actions: The 2\rho theorem (2009) (3)
Nonlocally flat embeddings, smoothings, and group actions (1973) (3)
HIRZEBRUCH CLASSES OF COMPLEX HYPERSURFACES (2009) (2)
Enumerative Combinatorics of Simplicial and Cell Complexes: Kirchhoff and Trent Type Theorems (2015) (2)
Fixed Points of Semi-free G-CW-complex with Prescribed Homotopy Type (2020) (2)
Functoriality of Isovariant Homotopy Classification (2009) (2)
The Classification of Non-linear Similarities over Z 2 R (2007) (2)
Fundamental groups, Γ-groups, and codimension two submanifolds (1976) (2)
Groups of singular hermitian forms (1973) (2)
Knots, Singular Embeddings, and Monodromy (2011) (1)
Topological Classification of Multiaxial U(n)-Actions (2011) (1)
Fixed Point Sets and the Fundamental Group II: Euler Characteristics (2020) (1)
Fixed Points of G-CW-complex with Prescribed Homotopy Type (2020) (1)
Fixed Point Sets and the Fundamental Group I: Semi-free Actions on G-CW-Complexes (2020) (1)
A perturbative SU(3) SU(3) Casson invariant (2002) (1)
Surveys on surgery theory : papers dedicated to C.T.C. Wall (2000) (1)
Definitive Conditions on Maxwell's Tangential E or H for Solutions to His Equations Inside a Bounded Region (2019) (0)
Closed Aspherical Manifolds with Center (to Frank Raymond, with friendship and admiration upon his 80th birthday) (2012) (0)
OF EVEN DIMENSIONAL MANIFOLDS. (2016) (0)
C. T. C. Wall's contributions to the topology of manifolds (2000) (0)
Eigenvalues of Transmission Graph Laplacians (2009) (0)
Fixedpoints ofperiodic maps (group actions/manifolds/topological similarity ofrepresentations) (1980) (0)
Book Review: The topological classification of stratified spaces (1998) (0)
Equivariant toric geometry and Euler-Maclaurin formulae (2023) (0)
Homotopy Classification of Multiaxial Actions (2011) (0)
Ju n 20 06 HODGE GENERA OF ALGEBRAIC VARIETIES , (2006) (0)
Surgery On Foliations (2022) (0)
SU(n) and U(n) Representations of Three-Manifolds with Boundary (2014) (0)
Functoriality in Equivariant Surgery Theory (2008) (0)
Contemporary Mathematics Intersection cohomology invariants of complex algebraic varieties (2007) (0)
Volume and bounded cohomology . The topological rationality of linear representations . Homotopy representations of finite groups . Contributions of rational homotopy theory to global problems in geometry . The homotopy Lie algebra for finite complexes (1983) (0)
Fixed Point Sets of G-CW-complexes of Given Homotopy Type (2021) (0)
On the combinatorial complexity of the space of hyperplane transversals (1990) (0)
Bott Integrability and Higher Integrability; Higher Cheeger-Simons and Godbillon-Vey Invariants (2022) (0)
Enumerative Combinatorics of Simplicial and Cell Complexes: Kirchhoff and Trent Type Theorems (2018) (0)
C. T. C. Wall’s publication list (2000) (0)

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