Overview

This volume contains the proceedings of the virtual AMS Special Session on Equivariant Cohomology, held March 19-20, 2022. Equivariant topology is the algebraic topology of spaces with symmetries. At the meeting, """"equivariant cohomology"""" was broadly interpreted to include related topics in equivariant topology and geometry such as Bredon cohomology, equivariant cobordism, GKM (Goresky, Kottwitz, and MacPherson) theory, equivariant $K$-theory, symplectic geometry, and equivariant Schubert calculus. This volume offers a view of the exciting progress made in these fields in the last twenty years. Several of the articles are surveys suitable for a general audience of topologists and geometers. To be broadly accessible, all the authors were instructed to make their presentations somewhat expository. This collection should be of interest and useful to graduate students and researchers alike.

Full Product Details

Author:   Loring W. Tu
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   808
ISBN:  

9781470471804

ISBN 10:   1470471809
Pages:   276
Publication Date:   28 February 2025
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Noe Barcenas, A survey of computations of Bredon cohomology Jack Carlisle, Cobordism of $G$-manifolds Jeffrey D. Carlson, The cohomology of homogeneous spaces in historical context Chi-Kwong Fok, A stroll in equivariant $K$-theory Matthias Franz, The Chang-Skjelbred lemma and generalizations Oliver Goertsches, Panagiotis Konstantis and Leopold Zoller, Low-dimensional GKM theory Rebecca Goldin, On positivity for the Peterson variety Chen He, Localization of equivariant cohomology rings of real and oriented Grassmannians Matvei Libine, Localization of integrals of equivariant forms for non-compact group actions Andres Pedroza, Induced Hamiltonian function on the symplectic one-point blowup Loring W. Tu, Gysin formulas and equivariant cohomology Julianna Tymoczko, A concise introduction to GKM theory, 25 years on

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Loring W. Tu, Tufts University, Medford, MA

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