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OverviewThis 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. Full Product DetailsAuthor: Alberto ArabiaPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2021 Volume: 2288 Weight: 0.599kg ISBN: 9783030704391ISBN 10: 3030704394 Pages: 376 Publication Date: 13 June 2021 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents- 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.Reviews“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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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