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Introductory Lectures on Equivariant Cohomology – (AMS-204) - Princeton Scholarship Online
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Introductory Lectures on Equivariant Cohomology: (AMS-204)

Loring W. Tu

Abstract

Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the proofs are the simplest. One of the most useful applications of equivariant cohomology is the equivariant localization theorem of Atiyah–Bott and Berline–Vergne, which converts the integral of an equivariant differential form into a finite sum over the fixed point set of the group actio ... More

Keywords: equivariant cohomology, algebraic topology, spaces, smooth manifolds, differential forms, equivariant de Rham theorem, equivariant localization theorem, circle action

Bibliographic Information

Print publication date: 2020 Print ISBN-13: 9780691191751
Published to Princeton Scholarship Online: January 2021 DOI:10.23943/princeton/9780691191751.001.0001

Authors

Affiliations are at time of print publication.

Loring W. Tu, author
Tufts University

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Contents

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Part IV Borel Localization

Part V The Equivariant Localization Formula