Equivariant Poincarй Duality on G-Manifolds: Equivariant Gysin Morphism and Equivariant Euler Classes, Arabia Alberto

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: N. Christopher Phillips
Название: Equivariant K-Theory and Freeness of Group Actions on C*-Algebras
ISBN: 3540182772 ISBN-13(EAN): 9783540182771
Издательство: Springer
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Автор: Glen E. Bredon
Название: Equivariant Cohomology Theories
ISBN: 3540039058 ISBN-13(EAN): 9783540039051
Издательство: Springer
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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: Tu Loring W.
Название: Introductory Lectures on Equivariant Cohomology: (ams-204)
ISBN: 0691191743 ISBN-13(EAN): 9780691191744
Издательство: Wiley
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Описание:

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology is concerned with the algebraic topology of spaces with a group action, or in other words, with symmetries of spaces. First defined in the 1950s, it has been introduced into K-theory and algebraic geometry, but it is in algebraic topology that the concepts are the most transparent and the proofs are the simplest. One of the most useful applications of equivariant cohomology is the equivariant localization theorem of Atiyah-Bott and Berline-Vergne, which converts the integral of an equivariant differential form into a finite sum over the fixed point set of the group action, providing a powerful tool for computing integrals over a manifold. Because integrals and symmetries are ubiquitous, equivariant cohomology has found applications in diverse areas of mathematics and physics.

Assuming readers have taken one semester of manifold theory and a year of algebraic topology, Loring Tu begins with the topological construction of equivariant cohomology, then develops the theory for smooth manifolds with the aid of differential forms. To keep the exposition simple, the equivariant localization theorem is proven only for a circle action. An appendix gives a proof of the equivariant de Rham theorem, demonstrating that equivariant cohomology can be computed using equivariant differential forms. Examples and calculations illustrate new concepts. Exercises include hints or solutions, making this book suitable for self-study.

Автор: Michael A. Hill , Michael J. Hopkins , Douglas C.
Название: Equivariant Stable Homotopy Theory and the Kervaire Invariant Problem
ISBN: 1108831443 ISBN-13(EAN): 9781108831444
Издательство: Cambridge Academ
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Описание: This is the definitive account of the resolution of the Kervaire invariant problem, a major milestone in algebraic topology. It develops all the machinery that is needed for the proof, and details many explicit constructions and computations performed along the way, making it suitable for graduate students as well as experts in homotopy theory.

Автор: Thomas J. Bridges; Jacques E. Furter
Название: Singularity Theory and Equivariant Symplectic Maps
ISBN: 3540572961 ISBN-13(EAN): 9783540572961
Издательство: Springer
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Описание: This monograph studies the local bifurcations of multiparameter symplectic maps of arbitrary dimension, in the neighbourhood of a fixed point. This is then reduced to a study of critical points of an equivariant gradient bifurcation problem.

Автор: Richard J. Szabo
Название: Equivariant Cohomology and Localization of Path Integrals
ISBN: 3662142848 ISBN-13(EAN): 9783662142844
Издательство: Springer
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Описание: This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability.

Автор: L. Gaunce Jr. Lewis; J.E. McClure; J. Peter May; M
Название: Equivariant Stable Homotopy Theory
ISBN: 3540168206 ISBN-13(EAN): 9783540168201
Издательство: Springer
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Автор: Richard J. Szabo
Название: Equivariant Cohomology and Localization of Path Integrals
ISBN: 3540671269 ISBN-13(EAN): 9783540671268
Издательство: Springer
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Цена: 18284.00 р.
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Описание: This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability.

Автор: Karin Gatermann
Название: Computer Algebra Methods for Equivariant Dynamical Systems
ISBN: 3540671617 ISBN-13(EAN): 9783540671619
Издательство: Springer
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Описание: After an overview of research into Grobner bases, this guide describes algorithms in invariant theory including many examples and time tables. These techniques are applied in further chapters on such areas as symmetric bifurcation theory and equivariant dynamics.