Lectures on Chern-Weil Theory and Witten Deformations
1st edition
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Author
Publication
2002-01-15 - World Scientific Publishing Company
Language
English
Word Count
27,500 words, Guess
Page Count
110 pages
Physical Format
Hardcover
Identifiers
- Internet Archivelecturesonchernw00zhan
- Internet Archivelecturesonchernw00zhan_260
- Internet Archivelecturesonchernw00zhan_484
- ISBN-109810246854
- ISBN-139789810246853
and 7 more
- LibraryThing307184
- Library of Congress Control Number2001046629
- OCLC Control Number646768373
- OCLC Control Number47863244
- Better World BooksP8-DBN-084
- Better World Books9789810246853
- Open LibraryOL9195385M
Classifications
- LCCQA613.618 .Z43 2001
- LCCQA613.618 .Z43 2001eb
- LCCQA613.618.Z43 2001
Description
"This book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andre Weil, as well as a proof of the Gauss Bonnet Chern theorem based on the Mathai Quillen construction of Thom forms; the second part presents analytic proofs of the Poincare Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten.". "Readership: Graduate students and researchers in differential geometry, topology and mathematical physics."--BOOK JACKET.
First Sentence
The theory of characteristic classes of vector bundles over smooth manifolds plays important roles in topology and geometry.
Subjects
Topics
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