Michael Atiyah’s work in algebraic topology-Reference-Cited by-同舟云学术

Michael Atiyah’s work in algebraic topology

Published:2021-07-15 Issue:4 Volume:58 Page:481-516
ISSN:0273-0979
Container-title:Bulletin of the American Mathematical Society
language:en
Short-container-title:Bull. Amer. Math. Soc.

Author:

Segal Graeme

Abstract

In 1960 algebraic topology was at the centre of the mathematical stage, but Michael Atiyah burst into the field and changed its focus and its language. I describe his work of the following decade and its influence, keeping to the themes of K K -theory and generalized cohomology to minimise the overlap with Dan Freed’s account of Atiyah’s work on index theory, which also appears in this issue.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/bull/2021-58-04/S0273-0979-2021-01746-0/S0273-0979-2021-01746-0.pdf

Reference59 articles.

1. [ABPer] (with R. Bott) On the priodicity theorem for complex vector bundles, Acta Mathematica 112 (1964), 229–247.

2. [ABS] (with R. Bott and A. Shapiro) Clifford modules, Topology 3 (Suppl. 1)(1964), 3–38.

3. [Ad-At] (with J. F. Adams) K-theory andthe Hopf invariant, Quart. J. Math. Oxford 17 (1966), 31–38.

4. [AnalCyc] (with F. Hirzebruch) Analytic cycles on complex manifolds, Topology 1 (1962), 25–45.

5. [AnalEmb] (with F. Hirzebruch) The Riemann-Roch theorem for analytic embeddings, Topology 1 (1962, 151–166.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Introduction to the Atiyah issue;Bulletin of the American Mathematical Society;2021-08-05

2. The Atiyah–Singer index theorem;Bulletin of the American Mathematical Society;2021-07-08