Atiyah’s work on holomorphic vector bundles and gauge theories

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2021-08-05 DOI:10.1090/bull/1748

S. Donaldson

引用次数: 3

Abstract

The first part of the article surveys Atiyah’s work in algebraic geometry during the 1950s, mainly on holomorphic vector bundles over curves. In the second part we discuss his work from the late 1970s on mathematical aspects of gauge theories, involving differential geometry, algebraic geometry, and topology.

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Atiyah关于全纯向量束和规范理论的研究

文章的第一部分概述了阿提耶在20世纪50年代代数几何方面的工作，主要是关于曲线上的全纯向量丛。在第二部分中，我们讨论了他在20世纪70年代末关于规范理论的数学方面的工作，包括微分几何、代数几何和拓扑。

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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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.