Equivariant Poincaré duality on G-manifolds : equivariant Gysin morphism and equivariant Euler classes
著者
書誌事項
Equivariant Poincaré duality on G-manifolds : equivariant Gysin morphism and equivariant Euler classes
（Lecture notes in mathematics, v. 2288）
Springer, c2021
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注記
Includes bibliographical references (p. 359-362) and index
内容説明・目次
内容説明
This book carefully presents a unified treatment of equivariant Poincare 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.
目次
- Introduction. - Nonequivariant Background. - Poincare Duality Relative to a Base Space. - Equivariant Background. - Equivariant Poincare Duality. - Equivariant Gysin Morphism and Euler Classes. - Localization. - Changing the Coefficients Field.
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