The index theorem and the heat equation method
著者
書誌事項
The index theorem and the heat equation method
（Nankai tracts in mathematics, vol. 2）
World Scientific, c2001
大学図書館所蔵 件 / 全26件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 279-282) and index
内容説明・目次
内容説明
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.
目次
- Preliminaries in Riemannian geometry
- Schroedinger and heat operators
- MP parametrix and applications
- Chern-Weil theory
- Clifford algebra and super-algebra
- Dirac operator
- local index theorems
- Riemann-Roch theorem.
「Nielsen BookData」 より
