| 书目名称 | Heat Kernels and Dirac Operators |
| 编辑 | Nicole Berline,Ezra Getzler,Michèle Vergne |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Grundlehren Text Editions |
| 图书封面 |  |
| 描述 | .The first edition of this book presented simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut), using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive softcover. The first four chapters could be used as the text for a graduate course on the applications of linear elliptic operators in differential geometry and the only prerequisites are a familiarity with basic differential geometry. The next four chapters discuss the equivariant index theorem, and include a useful introduction to equivariant differential forms. The last two chapters give a proof, in the spirit of the book, of Bismut‘s Local Family Index Theorem for Dirac operators.. |
| 出版日期 | Textbook 20041st edition |
| 关键词 | 53C05; 58A10; 58G10; 58G11; Atiyah-Singer Index Theorem; Dirac Operators; Heat Kernel Differential Geometr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-58088-8 |
| isbn_softcover | 978-3-540-20062-8 |
| isbn_ebook | 978-3-642-58088-8Series ISSN 1618-2685 Series E-ISSN 2627-5260 |
| issn_series | 1618-2685 |
| copyright | Springer-Verlag Berlin Heidelberg 2004 |
发表于 2025-3-21 17:14:13
