Introduction To Compact Transformation Groups Bredon
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Author | : |
Publisher | : Academic Press |
Total Pages | : 477 |
Release | : 1972-09-29 |
Genre | : Mathematics |
ISBN | : 0080873596 |
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Introduction to Compact Transformation Groups
Author | : Glen E. Bredon |
Publisher | : |
Total Pages | : 457 |
Release | : 1972 |
Genre | : |
ISBN | : |
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Author | : C. Allday |
Publisher | : Cambridge University Press |
Total Pages | : 486 |
Release | : 1993-07 |
Genre | : Mathematics |
ISBN | : 0521350220 |
Download Cohomological Methods in Transformation Groups Book in PDF, Epub and Kindle
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.
Author | : T. Tom Dieck |
Publisher | : Springer |
Total Pages | : 317 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540385177 |
Download Transformation Groups and Representation Theory Book in PDF, Epub and Kindle
Author | : Stefan Jackowski |
Publisher | : Springer |
Total Pages | : 408 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540470972 |
Download Transformation Groups Poznan 1985 Book in PDF, Epub and Kindle
Author | : Yves Félix |
Publisher | : Oxford University Press |
Total Pages | : 483 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0199206511 |
Download Algebraic Models in Geometry Book in PDF, Epub and Kindle
A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory.
Author | : Alejandro Adem |
Publisher | : Springer Science & Business Media |
Total Pages | : 329 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662062801 |
Download Cohomology of Finite Groups Book in PDF, Epub and Kindle
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
Author | : Tammo tom Dieck |
Publisher | : Springer |
Total Pages | : 311 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540460365 |
Download Algebraic Topology and Transformation Groups Book in PDF, Epub and Kindle
Author | : Victor Guillemin |
Publisher | : American Mathematical Soc. |
Total Pages | : 362 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 0821805029 |
Download Moment Maps, Cobordisms, and Hamiltonian Group Actions Book in PDF, Epub and Kindle
During the last 20 years, ``localization'' has been one of the dominant themes in the area of equivariant differential geometry. Typical results are the Duistermaat-Heckman theory, the Berline-Vergne-Atiyah-Bott localization theorem in equivariant de Rham theory, and the ``quantization commutes with reduction'' theorem and its various corollaries. To formulate the idea that these theorems are all consequences of a single result involving equivariant cobordisms, the authors have developed a cobordism theory that allows the objects to be non-compact manifolds. A key ingredient in this non-compact cobordism is an equivariant-geometrical object which they call an ``abstract moment map''. This is a natural and important generalization of the notion of a moment map occurring in the theory of Hamiltonian dynamics. The book contains a number of appendices that include introductions to proper group-actions on manifolds, equivariant cohomology, Spin${^\mathrm{c}}$-structures, and stable complex structures. It is geared toward graduate students and research mathematicians interested in differential geometry. It is also suitable for topologists, Lie theorists, combinatorists, and theoretical physicists. Prerequisite is some expertise in calculus on manifolds and basic graduate-level differential geometry.
Author | : |
Publisher | : |
Total Pages | : 484 |
Release | : 1968 |
Genre | : Harmonic functions |
ISBN | : |
Download Proceedings of the ... Conference on Compact Transformation Groups Book in PDF, Epub and Kindle