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Equivariant Poincaré duality on G-manifolds : equivariant Gysin morphism and equivariant Euler classes / Alberto Arabia.

9783030704407 (electronic bk.)
3030704408 (electronic bk.)
9783030704391
3030704394

Cham : Springer, [2021]

©2021

English

1 online resource : illustrations

10.1007/978-3-030-70440-7 doi

QA612.3 .A73 2021

514/.23

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed June 17, 2021).

Lecture notes in mathematics (Springer-Verlag) ; 2288. 0075-8434

Print version: 9783030704391

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