The Index Theorem and the Heat Equation Method (Nankai Tracts in Mathematics #2) (Hardcover)

The Index Theorem and the Heat Equation Method (Nankai Tracts in Mathematics #2) By Yanlin Yu, Weiping Zhang (Editor) Cover Image
By Yanlin Yu, Weiping Zhang (Editor)
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Description


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.
Product Details
ISBN: 9789810246105
ISBN-10: 9810246102
Publisher: World Scientific Publishing Company
Publication Date: July 4th, 2001
Pages: 308
Language: English
Series: Nankai Tracts in Mathematics