Lectures on Chern-Weil Theory and Witten Deformations
Edition: 1st edition
Publisher: World Scientific Publishing Company; World Scientific Pub Co Inc
Published: January 15, 2002
Language: eng
Format: Hardcover
Number of pages: 110
ISBN-13: 9789810246853
Subjects: Differential & Riemannian geometry; Theoretical methods; Topology; Science/Mathematics; Index theorems; Mathematics; Topology - General; General; Mathematical Physics; Chern classes; Complexes
First sentence: The theory of characteristic classes of vector bundles over smooth manifolds plays important roles in topology and geometry.
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.