Michael Atiyah在代数拓扑方面的工作

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2021-07-15 DOI:10.1090/BULL/1746

G. Segal

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引用次数: 2

摘要

1960年，代数拓扑学处于数学舞台的中心，但迈克尔·阿蒂亚(Michael Atiyah)突然进入这个领域，改变了它的焦点和语言。我描述了他接下来十年的工作及其影响，保持K - K理论和广义上同论的主题，以尽量减少与Dan Freed对Atiyah在指标理论方面的工作的描述重叠，这也出现在本期中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Michael Atiyah’s work in algebraic topology

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.

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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： 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.