Index Theorem And The Heat Equation Method, The PDF
by Yu Yanlin Yu
Part of the Nankai Tracts In Mathematics series
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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.
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- Format:PDF
- Pages:308 pages
- Publisher:World Scientific Publishing Company
- Publication Date:02/07/2001
- Category:
- ISBN:9789814491112
Information
-
Download Now
- Format:PDF
- Pages:308 pages
- Publisher:World Scientific Publishing Company
- Publication Date:02/07/2001
- Category:
- ISBN:9789814491112