Can I read Introductory Lectures on Equivariant Cohomology: (AMS-204) (Annals of Mathematics Studies Book 3) on EtoBox?

Introductory Lectures on Equivariant Cohomology: (AMS-204) (Annals of Mathematics Studies Book 3) by Tu, Loring W. is a nonfiction available to read on EtoBox.

What is Introductory Lectures on Equivariant Cohomology: (AMS-204) (Annals of Mathematics Studies Book 3) about?

"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 s

Who reads Introductory Lectures on Equivariant Cohomology: (AMS-204) (Annals of Mathematics Studies Book 3)?

Author

Tu, Loring W.

Publisher

Princeton University Press 2020

Published

2020

Language

EN

ISBN

9780691191744

Category

nonfiction

Subjects

Mathematics, Mathematical Theory, Stem