René Thom’s work on geometric homology and bordism
DOI10.1090/S0273-0979-04-01026-2zbMath1045.57001WikidataQ55966638 ScholiaQ55966638MaRDI QIDQ4813567
Publication date: 13 August 2004
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
manifoldsignaturesubmanifoldsbordismindexcharacteristic classesresolving singularitiesThom's isomorphism
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)
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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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