Keyword

characteristic classes

Description: Cohomology classes that encode topological properties of vector bundles and related geometric structures.

Primary topic: Homotopy and Cohomology in Algebraic Topology (44%)

Wikidata ID: wiki/Q1062978

OpenAlex ID: keywords/characteristic-classes

Differential Forms in Algebraic Topology

1982 · Raoul Bott, Loring W. Tu · Graduate texts in mathematics · 2,760

Geometry, Topology and Physics

2018 · Mikio Nakahara · CRC Press eBooks · 1,506

Invariance theory, the heat equation, and the Atiyah-Singer index theorem

1995 · Peter Gilkey · 1,456

Topological Methods in Algebraic Geometry

1966 · F. Hirzebruch · Springer eBooks · 1,280

Characteristic Classes. (AM-76)

1974 · John Milnor, James D. Stasheff · Princeton University Press eBooks · 1,228

Characteristic Classes and Homogeneous Spaces, I

1958 · A. Borel, F. Hirzebruch · American Journal of Mathematics · 849

Algebraic Topology — Homotopy and Homology

1975 · Robert M. Switzer · Springer eBooks · 792

Complex Analytic Connections in Fibre Bundles

1957 · M. F. Atiyah · Transactions of the American Mathematical Society · 784

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Loop Spaces, Characteristic Classes and Geometric Quantization

1993 · Jean-Luc Brylinski · Birkhäuser Boston eBooks · 747

Notes on Cobordism Theory

1969 · Robert E. Stong · Princeton University Press eBooks · 611

The structure of gauge and gravitational anomalies

1985 · Luis Alvarez-Gaumé, Paul Ginsparg · Annals of Physics · 512

Characteristic class entering in quantization conditions

1967 · V. I. Arnol'd · Functional Analysis and Its Applications · 509

Fibre Bundles

1994 · Dale Husemoller · Graduate texts in mathematics · 400

Dirac operators coupled to vector potentials

1984 · M. F. Atiyah, I. M. Singer · Proceedings of the National Academy of Sciences · 389

Elementary proofs of some results of cobordism theory using Steenrod operations

1971 · Daniel Quillen · Advances in Mathematics · 318

Lectures on characteristic classes and foliations

1972 · Raoul Bott · Lecture notes in mathematics · 309

Cohomological Invariants in Galois Cohomology

2003 · Skip Garibaldi, Alexander Merkurjev, et al. · University lecture series · 302

Construction of Universal Bundles, II

1956 · John Milnor · Annals of Mathematics · 296

Characteristic Classes of Hermitian Manifolds

1946 · Shiing-shen Chern · Annals of Mathematics · 292

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

1995 · Josi A. de Azcárraga, Josi M. Izquierdo · Cambridge University Press eBooks · 272

Schubert varieties and Poincaré duality

1980 · David Kazhdan, George Lusztig · Proceedings of symposia in pure mathematics · 271

Riemann-Roch theorems for higher algebraic K-theory

1981 · Henri Gillet · Advances in Mathematics · 266

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Lie Algebroids, Holonomy and Characteristic Classes

2002 · Rui Loja Fernandes · Advances in Mathematics · 259

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La théorie des classes de Chern

1958 · Alexander Grothendieck · Bulletin de la Société mathématique de France · 259

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Symmetric Bilinear Forms

1974 · P. M. Cohn · Bulletin of the London Mathematical Society · 249

Works count: 2,927

Citation count: 41,640