Equivariant Poincaré Duality on G-Manifolds

Equivariant Gysin Morphism and Equivariant Euler Classes
1. Auflage 2021
ISBN: 978-3-030-70439-1
Verlag: Springer International Publishing

Buch, Englisch, Band 2288, 376 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 593 g

Reihe: 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.

Zielgruppe

Research

Autoren/Hrsg.

Arabia, Alberto

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

- 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.