Equivariant Poincaré duality on G-manifolds : equivariant Gysin morphism and equivariant Euler classes / Alberto Arabia.
2021
QA612.3 .A73 2021
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Title
Equivariant Poincaré duality on G-manifolds : equivariant Gysin morphism and equivariant Euler classes / Alberto Arabia.
Author
Arabia, Alberto, author.
ISBN
9783030704407 (electronic bk.)
3030704408 (electronic bk.)
9783030704391
3030704394
3030704408 (electronic bk.)
9783030704391
3030704394
Published
Cham : Springer, [2021]
Copyright
©2021
Language
English
Description
1 online resource : illustrations
Item Number
10.1007/978-3-030-70440-7 doi
Call Number
QA612.3 .A73 2021
Dewey Decimal Classification
514/.23
Summary
This book carefully presents a unified treatment of equivariant Poincaré duality in a wide variety of contexts, illuminating an area of mathematics that is often glossed over elsewhere. The approach used here allows the parallel treatment of both equivariant and nonequivariant cases. It also makes it possible to replace the usual field of coefficients for cohomology, the field of real numbers, with any field of arbitrary characteristic, and hence change (equivariant) de Rham cohomology to the usual singular (equivariant) cohomology . The book will be of interest to graduate students and researchers wanting to learn about the equivariant extension of tools familiar from non-equivariant differential geometry.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Digital File Characteristics
text file
PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 17, 2021).
Series
Lecture notes in mathematics (Springer-Verlag) ; 2288. 0075-8434
Available in Other Form
Print version: 9783030704391
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Table of Contents
Introduction
Nonequivariant Background
Poincaré Duality Relative to a Base Space
Equivariant Background
Equivariant Poincaré Duality
Equivariant Gysin Morphism and Euler Classes
Localization
Changing the Coefficients Field.
Nonequivariant Background
Poincaré Duality Relative to a Base Space
Equivariant Background
Equivariant Poincaré Duality
Equivariant Gysin Morphism and Euler Classes
Localization
Changing the Coefficients Field.