Loring W Tu

(Author)

Introductory Lectures on Equivariant Cohomology: (Ams-204)Paperback, 3 March 2020

Introductory Lectures on Equivariant Cohomology: (Ams-204)
Qty
1
Turbo
Ships in 2 - 3 days
In Stock
Free Delivery
Cash on Delivery
15 Days
Free Returns
Secure Checkout
Buy More, Save More
Part of Series
Annals of Mathematics Studies
Part of Series
Annals of Mathematics Studies, 204
Print Length
200 pages
Language
English
Publisher
Princeton University Press
Date Published
3 Mar 2020
ISBN-10
0691191751
ISBN-13
9780691191751

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.

Product Details

Author:
Loring W Tu
Book Format:
Paperback
Country of Origin:
US
Date Published:
3 March 2020
Dimensions:
23.37 x 15.75 x 1.78 cm
ISBN-10:
0691191751
ISBN-13:
9780691191751
Language:
English
Location:
Princeton
Pages:
200
Weight:
453.59 gm

Related Categories


Need Help?
+971 6 731 0280
support@gzb.ae

About UsContact UsPayment MethodsFAQsShipping PolicyRefund and ReturnTerms of UsePrivacy PolicyCookie Notice

VisaMastercardCash on Delivery

© 2024 White Lion General Trading LLC. All rights reserved.