Cohomological Methods In Transformation Groups
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Cohomological Methods In Transformation Groups
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Author : C. Allday
language : en
Publisher: Cambridge University Press
Release Date : 1993-07
Cohomological Methods In Transformation Groups written by C. Allday and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-07 with Mathematics categories.
This is an account of the theory of certain types of compact transformation groups, namely those that are susceptible to study using ordinary cohomology theory and rational homotopy theory, which in practice means the torus groups and elementary abelian p-groups. The efforts of many mathematicians have combined to bring a depth of understanding to this area. However to make it reasonably accessible to a wide audience, the authors have streamlined the presentation, referring the reader to the literature for purely technical results and working in a simplified setting where possible. In this way the reader with a relatively modest background in algebraic topology and homology theory can penetrate rather deeply into the subject, whilst the book at the same time makes a useful reference for the more specialised reader.
Transformation Groups
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Author : Goutam Mukherjee
language : en
Publisher:
Release Date : 2005
Transformation Groups written by Goutam Mukherjee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Manifolds (Mathematics). categories.
"The importance of cohomology theory in the study of symplectic and Hamiltonian torus actions has been recognized for a long time. The usefulness of cohomolgy theory in the field continues today, significantly in the theory of toric varieties. One of the major aims of this book is to illustrate the cohomological methods used in the study of symplectic and Hamiltonian torus actions and to present some recent results." "The other aspect of this book is to present the theory of toric manifolds, which is a study of toric varieties from a topological view point and to illustrate some applications to combinatorics. Most of the techniques used and proofs of results included, are either new and have not appeared elsewhere or are written in a style which may be more accessible to readers. The volume is suitable for graduate students in mathematics having some basic knowledge in algebraic and differential topology."--BOOK JACKET.
Seminar On Transformation Groups Am 46 Volume 46
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Author : Armand Borel
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Seminar On Transformation Groups Am 46 Volume 46 written by Armand Borel and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.
Proceedings Of The Conference On Transformation Groups
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Author : P. S. Mostert
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Proceedings Of The Conference On Transformation Groups written by P. S. Mostert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
These Proceedings contain articles based on the lectures and in formal discussions at the Conference on Transformation Groups held at Tulane University, May 8 to June 2, 1967 under the sponsorship of the Advanced Science Seminar Projects of the National Science Foun dation (Contract No. GZ 400). They differ, however, from many such Conference proceedings in that particular emphasis has been given to the review and exposition of the state of the theory in its various mani festations, and the suggestion of direction to further research, rather than purely on the publication of research papers. That is not to say that there is no new material contained herein. On the contrary, there is an abundance of new material, many new ideas, new questions, and new conjectures~arefully incorporated within the framework of the theory as the various authors see it. An original objective of the Conference and of this report was to supply a much needed review of and supplement to the theory since the publication of the three standard works, MONTGOMERY and ZIPPIN, Topological Transformation Groups, Interscience Pub lishers, 1955, BOREL et aI. , Seminar on Transformation Groups, Annals of Math. Surveys, 1960, and CONNER and FLOYD, Differen tial Periodic Maps, Springer-Verlag, 1964. Considering this objective ambitious enough, it was decided to limit the survey to that part of Transformation Group Theory derived from the Montgomery School.
Current Trends In Transformation Groups
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Author : Anthony Bak
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-07-31
Current Trends In Transformation Groups written by Anthony Bak and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-31 with Mathematics categories.
This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role. The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.
Cohomology Of Finite Groups
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Author : Alejandro Adem
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Cohomology Of Finite Groups written by Alejandro Adem and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo logical algebra and algebraic K-theory. It arose primarily in the 1920's and 1930's independently in number theory and topology. In topology the main focus was on the work ofH. Hopf, but B. Eckmann, S. Eilenberg, and S. MacLane (among others) made significant contributions. The main thrust of the early work here was to try to understand the meanings of the low dimensional homology groups of a space X. For example, if the universal cover of X was three connected, it was known that H2(X; A. ) depends only on the fundamental group of X. Group cohomology initially appeared to explain this dependence. In number theory, group cohomology arose as a natural device for describing the main theorems of class field theory and, in particular, for describing and analyzing the Brauer group of a field. It also arose naturally in the study of group extensions, N
Transformation Groups
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Author : Goutam Mukherjee
language : en
Publisher: Springer
Release Date : 2005-04-15
Transformation Groups written by Goutam Mukherjee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-15 with Mathematics categories.
Contributed lectures presented earlier at Winter School on Transformation Groups.
Algebraic Topology Poznan 1989
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Author : Stefan Jackowski
language : en
Publisher: Springer
Release Date : 2006-11-14
Algebraic Topology Poznan 1989 written by Stefan Jackowski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held. In the resulting proceedings volume, the emphasis is on substantial survey papers, some presented at the conference, some written subsequently.
Geometric And Cohomological Methods In Group Theory
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Author : Martin R. Bridson
language : en
Publisher: Cambridge University Press
Release Date : 2009-10-29
Geometric And Cohomological Methods In Group Theory written by Martin R. Bridson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-29 with Mathematics categories.
An extended tour through a selection of the most important trends in modern geometric group theory.
Toric Topology
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Author : International Conference on Toric Topology
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Toric Topology written by International Conference on Toric Topology and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Topology categories.
Toric topology is the study of algebraic, differential, symplectic-geometric, combinatorial, and homotopy-theoretic aspects of a particular class of torus actions whose quotients are highly structured. The combinatorial properties of this quotient and the equivariant topology of the original manifold interact in a rich variety of ways, thus illuminating subtle aspects of both the combinatorics and the equivariant topology. Many of the motivations and guiding principles of the fieldare provided by (though not limited to) the theory of toric varieties in algebraic geometry as well as that of symplectic toric manifolds in symplectic geometry.This volume is the proceedings of the International Conference on Toric Topology held in Osaka in May-June 2006. It contains about 25 research and survey articles written by conference speakers, covering many different aspects of, and approaches to, torus actions, such as those mentioned above. Some of the manuscripts are survey articles, intended to give a broad overview of an aspect of the subject; all manuscripts consciously aim to be accessible to a broad reading audience of students andresearchers interested in the interaction of the subjects involved. We hope that this volume serves as an enticing invitation to this emerging field.