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arabia alberto - equivariant poincaré duality on g-manifolds

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

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Lingua: Inglese


Pubblicazione: 06/2021
Edizione: 1st ed. 2021


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.


- 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.

Altre Informazioni



Condizione: Nuovo
Collana: Lecture Notes in Mathematics
Dimensioni: 235 x 155 mm Ø 599 gr
Formato: Brossura
Illustration Notes:XV, 376 p. 272 illus., 2 illus. in color.
Pagine Arabe: 376
Pagine Romane: xv

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