The Index Theorem and the Heat Equation Method (Hardcover) (ISBN-13: 9789810246105)

This book provides a self-contained representation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first order geometric elliptic operators by using the heat equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems, and it seems to be as efficient as other methods.

Author: Yanlin Yu
ISBN-10: 9810246102
ISBN-13: 9789810246105
Publisher: World Scientific Publishing Company
Language: English
Published: 07/04/2001
Pages: 308
Format: Hardcover
Weight: 1.27lbs
Size: 8.73h x 6.21w x 0.50d