Equivariant Poincaré Duality on G-Manifolds - Alberto Arabia

Equivariant Poincaré Duality on G-Manifolds

Equivariant Gysin Morphism and Equivariant Euler Classes

(Autor)

Buch | Softcover
XV, 376 Seiten
2021 | 1st ed. 2021
Springer International Publishing (Verlag)
978-3-030-70439-1 (ISBN)
69,54 inkl. MwSt

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.

"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)

“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)

Erscheinungsdatum
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo XV, 376 p. 272 illus., 2 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 592 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte derived category • Gysin Morphism • Linear Representations of Compact Lie Groups • Poincaré duality • sheaf cohomology
ISBN-10 3-030-70439-4 / 3030704394
ISBN-13 978-3-030-70439-1 / 9783030704391
Zustand Neuware
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