Equivariant Surgery Theories and Their Periodicity Properties, Karl H. Dovermann; Reinhard Schultz

Автор: Joseph Bernstein; Valery Lunts
Название: Equivariant Sheaves and Functors
ISBN: 3540580719 ISBN-13(EAN): 9783540580713
Издательство: Springer
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Описание: Introducing the equivariant derived category of sheaves, this monograph also provides applications to the equivariant intersection cohomology. This theory should benefit specialists in representation theory, algebraic geometry or topology.

Автор: Alexander M. Kushkuley; Zalman I. Balanov
Название: Geometric Methods in Degree Theory for Equivariant Maps
ISBN: 3540615296 ISBN-13(EAN): 9783540615293
Издательство: Springer
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Описание: This work introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G-spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases.

Автор: Hanno Ulrich
Название: Fixed Point Theory of Parametrized Equivariant Maps
ISBN: 3540501878 ISBN-13(EAN): 9783540501879
Издательство: Springer
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Описание: Discusses general properties of G-ENRBs - Euclidean Neighbourhood Retracts over B with action of a compact Lie group G - and their relations with fibrations, continuous submersions, and fibre bundles. This book presents equivariant cohomology theory, showing that equivariant fixed point theory is isomorphic to equivariant stable cohomotopy theory.

Автор: Steven R. Costenoble; Stefan Waner
Название: Equivariant Ordinary Homology and Cohomology
ISBN: 3319504479 ISBN-13(EAN): 9783319504476
Издательство: Springer
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Описание: Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. Aimed at advanced graduate students and researchers in algebraic topology and related fields, the book assumes knowledge of basic algebraic topology and group actions.

Автор: Jochen Br?ning; Victor W Guillemin; Shlomo Sternbe
Название: Supersymmetry and Equivariant de Rham Theory
ISBN: 3642084338 ISBN-13(EAN): 9783642084331
Издательство: Springer
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Описание: Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J. Bruning and V.W. Guillemin. The point of departure are two relatively short but very remarkable papers be Henry Cartan, published in 1950 in the Proceedings of the "Colloque de Topologie." These papers are reproduced here, together with a modern introduction to the subject, written by two of the leading experts in the field. This "introduction" comes as a textbook of its own, though, presenting the first full treatment of equivariant cohomology in the de Rahm setting. The well known topological approach is linked with the differential form aspect through the equivariant de Rahm theorem. The systematic use of supersymmetry simplifies considerably the ensuing development of the basic technical tools which are then applied to a variety of subjects, leading up to the localization theorems and other very recent results.