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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Michael Atiyah’s work in algebraic topology
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Bull. Amer. Math. Soc. 58 (2021), 481-516

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
  • © Copyright 2021 by the author
  • Journal: Bull. Amer. Math. Soc. 58 (2021), 481-516
  • MSC (2020): Primary 55-XX, 58-XX
  • DOI: https://doi.org/10.1090/bull/1746
  • MathSciNet review: 4311553