Equivariant Cohomology Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivariant Cohomology Theories write by Glen E. Bredon. This book was released on 2006-11-14. Equivariant Cohomology Theories available in PDF, EPUB and Kindle. a
Equivariant Homotopy and Cohomology Theory
Equivariant Homotopy and Cohomology Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivariant Homotopy and Cohomology Theory write by J. Peter May. This book was released on 1996. Equivariant Homotopy and Cohomology Theory available in PDF, EPUB and Kindle. This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The works begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. The book then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to "brave new algebra", the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail.
Introductory Lectures on Equivariant Cohomology
Introductory Lectures on Equivariant Cohomology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introductory Lectures on Equivariant Cohomology write by Loring W. Tu. This book was released on 2020-03-03. Introductory Lectures on Equivariant Cohomology available in PDF, EPUB and Kindle. 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.
Supersymmetry and Equivariant de Rham Theory
Supersymmetry and Equivariant de Rham Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Supersymmetry and Equivariant de Rham Theory write by Victor W Guillemin. This book was released on 2013-03-09. Supersymmetry and Equivariant de Rham Theory available in PDF, EPUB and Kindle. This book discusses the equivariant cohomology theory of differentiable manifolds. Although this subject has gained great popularity since the early 1980's, it has not before been the subject of a monograph. It covers almost all important aspects of the subject The authors are key authorities in this field.
Stratifolds and Equivariant Cohomology Theories
Stratifolds and Equivariant Cohomology Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stratifolds and Equivariant Cohomology Theories write by Haggai Tene. This book was released on 2011. Stratifolds and Equivariant Cohomology Theories available in PDF, EPUB and Kindle.
