Introductory Lectures on Equivariant Cohomology

Released on by Loring W. Tu
preview-18

  • Introductory Lectures on Equivariant Cohomology Book Detail

  • Author : Loring W. Tu
  • Release Date : 2020-03-03
  • Publisher : Princeton University Press
  • Genre : Mathematics
  • Pages : 337
  • ISBN 13 : 0691191751
  • File Size : 57,57 MB
DOWNLOAD BOOK

Introductory Lectures on Equivariant Cohomology by Loring W. Tu PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Introductory Lectures on Equivariant Cohomology books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Lecture Notes on Motivic Cohomology

Lecture Notes on Motivic Cohomology

File Size : 6,6 MB
Total View : 5571 Views
DOWNLOAD

The notion of a motive is an elusive one, like its namesake "the motif" of Cezanne's impressionist method of painting. Its existence was first suggested by Grot