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Equivariant Poincaré Duality on G-Manifolds: Equivariant Gysin Morphism and Equivariant Euler Classes 1st ed. 2021 [Minkštas viršelis]

  • Formatas: Paperback / softback, 376 pages, aukštis x plotis: 235x155 mm, weight: 599 g, 2 Illustrations, color; 270 Illustrations, black and white; XV, 376 p. 272 illus., 2 illus. in color., 1 Paperback / softback
  • Serija: Lecture Notes in Mathematics 2288
  • Išleidimo metai: 13-Jun-2021
  • Leidėjas: Springer Nature Switzerland AG
  • ISBN-10: 3030704394
  • ISBN-13: 9783030704391
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 376 pages, aukštis x plotis: 235x155 mm, weight: 599 g, 2 Illustrations, color; 270 Illustrations, black and white; XV, 376 p. 272 illus., 2 illus. in color., 1 Paperback / softback
  • Serija: Lecture Notes in Mathematics 2288
  • Išleidimo metai: 13-Jun-2021
  • Leidėjas: Springer Nature Switzerland AG
  • ISBN-10: 3030704394
  • ISBN-13: 9783030704391
Kitos knygos pagal šią temą:
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.

Recenzijos

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)

- 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.