Equivariant Poincaré Duality on G-Manifolds: Equivariant Gysin Morphism and Equivariant Euler Classes...

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Alberto Arabia

Equivariant Poincaré Duality on G-Manifolds

Equivariant Gysin Morphism and Equivariant Euler Classes

Alberto Arabia

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English

Springer Nature Switzerland AG
13 June 2021

Mathematical foundations; Algebra; Groups & group theory; Topology; Algebraic topology

Series: Lecture Notes in Mathematics

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.

By: Alberto Arabia
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 1st ed. 2021
Volume: 2288
Dimensions: Height: 235mm, Width: 155mm,
Weight: 599g
ISBN: 9783030704391
ISBN 10: 3030704394
Series: Lecture Notes in Mathematics
Pages: 376
Publication Date: 13 June 2021
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Paperback
Publisher's Status: Active

Reviews for Equivariant Poincaré Duality on G-Manifolds: Equivariant Gysin Morphism and Equivariant Euler Classes

“The book contains a number of exercises with hints for solutions given in another appendix. There is also an index and an invaluable glossary of symbols organized by chapter. The book is quite technical … .” (Jonathan Hodgson, zbMATH 1473.55001, 2021)