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The index theorem and the heat equation method /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; River Edge, NJ :
World Scientific,
©2001.
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| Colección: | Nankai tracts in mathematics ;
v. 2. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. Contents: Preliminaries in Riemannian Geometry; Schrödinger and Heat Operators; MP Parametrix and Applications; Chern-Weil Th. |
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| Descripción Física: | 1 online resource (xix, 287 pages). |
| Bibliografía: | Includes bibliographical references (pages 279-282) and index. |
| ISBN: | 9789812810106 9812810102 |