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Cohomological Methods in Transformation Groups

1993-07 Mathematics
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Release : 1993-07
Genre : Mathematics
Kind : eBook
Book Rating : 220/5 ( reviews)

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Book Synopsis Cohomological Methods in Transformation Groups by : C. Allday

Download or read book Cohomological Methods in Transformation Groups written by C. Allday. This book was released on 1993-07. Available in PDF, EPUB and Kindle. Book excerpt: 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

2005 Manifolds (Mathematics).
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Release : 2005
Genre : Manifolds (Mathematics).
Kind : eBook
Book Rating : 548/5 ( reviews)

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Book Synopsis Transformation Groups by : Goutam Mukherjee

Download or read book Transformation Groups written by Goutam Mukherjee. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: "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

2016-03-02 Mathematics
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Release : 2016-03-02
Genre : Mathematics
Kind : eBook
Book Rating : 672/5 ( reviews)

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Book Synopsis Seminar on Transformation Groups. (AM-46), Volume 46 by : Armand Borel

Download or read book Seminar on Transformation Groups. (AM-46), Volume 46 written by Armand Borel. This book was released on 2016-03-02. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Seminar on Transformation Groups. (AM-46), Volume 46, will be forthcoming.

Proceedings of the Conference on Transformation Groups

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 417/5 ( reviews)

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Book Synopsis Proceedings of the Conference on Transformation Groups by : P. S. Mostert

Download or read book Proceedings of the Conference on Transformation Groups written by P. S. Mostert. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

2002-07-31 Mathematics
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Release : 2002-07-31
Genre : Mathematics
Kind : eBook
Book Rating : 835/5 ( reviews)

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Book Synopsis Current Trends in Transformation Groups by : Anthony Bak

Download or read book Current Trends in Transformation Groups written by Anthony Bak. This book was released on 2002-07-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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