| The Index Theorem and the Heat Equation Method Contributor(s): Yu, Yanlin (Author), Zhang, Weiping (Editor) |
|
 |
ISBN: 9810246102 ISBN-13: 9789810246105 Publisher: World Scientific Publishing Company OUR PRICE: $118.75 Product Type: Hardcover - Other Formats Published: July 2001 |
| Additional Information |
| BISAC Categories: - Mathematics | Topology - General - Medical - Mathematics | Geometry - Differential |
| Dewey: 514 |
| LCCN: 2001017928 |
| Series: Nankai Tracts in Mathematics |
| Physical Information: 0.5" H x 6.21" W x 8.73" (1.27 lbs) 308 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |