The Index Theorem And The Heat Equation Method
Download or Read eBook The Index Theorem And The Heat Equation Method PDF written by Yanlin Yu and published by World Scientific. This book was released on 2001-07-02 with total page 309 pages. Available in PDF, EPUB and Kindle.
| Author | : Yanlin Yu |
| Publisher | : World Scientific |
| Total Pages | : 309 |
| Release | : 2001-07-02 |
| ISBN-10 | : 9789814491112 |
| ISBN-13 | : 981449111X |
| Rating | : 4/5 (12 Downloads) |
Book Synopsis The Index Theorem And The Heat Equation Method by : Yanlin Yu
Book excerpt: 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.
