Equivariant Pontrjagin Classes and Applications to Orbit Spaces, D. B. Zagier
Автор: Joseph Bernstein; Valery Lunts Название: Equivariant Sheaves and Functors ISBN: 3540580719 ISBN-13(EAN): 9783540580713 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Thomas J. Bridges; Jacques E. Furter Название: Singularity Theory and Equivariant Symplectic Maps ISBN: 3540572961 ISBN-13(EAN): 9783540572961 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Tu Loring W. Название: Introductory Lectures on Equivariant Cohomology: (ams-204) ISBN: 0691191743 ISBN-13(EAN): 9780691191744 Издательство: Wiley Рейтинг: Цена: 25819.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Steven R. Costenoble; Stefan Waner Название: Equivariant Ordinary Homology and Cohomology ISBN: 3319504479 ISBN-13(EAN): 9783319504476 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: 0691191751 ISBN-13(EAN): 9780691191751 Издательство: Wiley Рейтинг: Цена: 11880.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Hanno Ulrich Название: Fixed Point Theory of Parametrized Equivariant Maps ISBN: 3540501878 ISBN-13(EAN): 9783540501879 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: L. Gaunce Jr. Lewis; J.E. McClure; J. Peter May; M Название: Equivariant Stable Homotopy Theory ISBN: 3540168206 ISBN-13(EAN): 9783540168201 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Karin Gatermann Название: Computer Algebra Methods for Equivariant Dynamical Systems ISBN: 3540671617 ISBN-13(EAN): 9783540671619 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Richard J. Szabo Название: Equivariant Cohomology and Localization of Path Integrals ISBN: 3540671269 ISBN-13(EAN): 9783540671268 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Alexander M. Kushkuley; Zalman I. Balanov Название: Geometric Methods in Degree Theory for Equivariant Maps ISBN: 3540615296 ISBN-13(EAN): 9783540615293 Издательство: Springer Рейтинг: Цена: 3766.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Glen E. Bredon Название: Equivariant Cohomology Theories ISBN: 3540039058 ISBN-13(EAN): 9783540039051 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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