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

Format:

Book

Author/Creator:

Arabia, Alberto, author.

Series:

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

Lecture notes in mathematics, 0075-8434 ; volume 2288

Language:

English

Subjects (All):

Poincaré series.

Duality theory (Mathematics).

Cohomology operations.

Physical Description:

xv, 374 pages : illustrations ; 24 cm.

Place of Publication:

Cham : Springer, [2021]

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.

Notes:

Includes bibliographical references (pages 359-362) and index.

Other Format:

e-book version

ISBN:

9783030704391

3030704394

OCLC:

1259667323

Publisher Number:

9783030704391