René Thom’s work on geometric homology and bordism

DOI10.1090/S0273-0979-04-01026-2zbMath1045.57001WikidataQ55966638 ScholiaQ55966638MaRDI QIDQ4813567

Dennis Sullivan

Publication date: 13 August 2004

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

manifoldsignaturesubmanifoldsbordismindexcharacteristic classesresolving singularitiesThom's isomorphism

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) Software, source code, etc. for problems pertaining to manifolds and cell complexes (57-04)

Related Items (7)

GROTHENDIECK GROUPS AND A CATEGORIFICATION OF ADDITIVE INVARIANTS ⋮ Bifurcation of perturbations of non-generic closed self-shrinkers ⋮ Quantum extended crystal super PDEs ⋮ Ergodic solenoidal homology: Realization theorem ⋮ On Codimension One Embedding of Simplicial Complexes ⋮ Topologically stratified energy minimizers in a product abelian field theory ⋮ Anomalous symmetries end at the boundary

Cites Work

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• Intersection homology theory
• The transversality characteristic class and linking cycles in surgery theory
• Genetics of homotopy theory and the Adams conjecture
• Topological methods in algebraic geometry. Translation from the German and appendix one by R. L. E. Schwarzenberger. Appendix two by A. Borel.
• The index of elliptic operators. I
• Charakterisierung der Signatur von Mannigfaltigkeiten durch eine Additivitätseigenschaft
• Groups of homotopy spheres. I
• On the Index of a Fibered Manifold
• Witt Spaces: A Geometric Cycle Theory for KO-Homology at Odd Primes
• On the Algebraic Structure of Cobordism Operations with Singularities
• Ensembles et morphismes stratifiés
• Cobordism groups of immersions

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