Michael Atiyah’s work in algebraic topology

Author:
Graeme Segal

Journal:
Bull. Amer. Math. Soc. **58** (2021), 481-516

MSC (2020):
Primary 55-XX, 58-XX

DOI:
https://doi.org/10.1090/bull/1746

Published electronically:
July 15, 2021

MathSciNet review:
4311553

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Abstract | References | Similar Articles | Additional Information

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 $K$-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.

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Additional Information

**Graeme Segal**

Affiliation:
All Souls College, Oxford, United Kingdom

MR Author ID:
157985

Received by editor(s):
June 10, 2021

Published electronically:
July 15, 2021

Article copyright:
© Copyright 2021
by the author