## Michael Atiyah’s work in algebraic topology

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Graeme Segal
**HTML**| PDF - 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.## References

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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