Invariance theory, the heat equation, and the Atiyah-Singer index theorem

Invariance theory, the heat equation, and the Atiyah-Singer index theorem

フォーマット:
図書
責任表示:
Peter B. Gilkey
本文言語:
英語
説明:
viii, 349 p.; 24 cm
出版情報:
Wilmington, Del., United States. c1984. Publish or Perish
シリーズ:
Mathematics lecture series; 11
概要:
This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation. 続きを見る
本文を見る
所蔵情報
Loading availability information

類似資料:

1
Topology and analysis : the Atiyah-Singer index formula and gauge-theoretic physics by Booss, Bernhelm, 1941-; Bleecker, David; Mader, A.
7
不変式論 by 森川, 寿
8
The Atiyah-Patodi-Singer index theorem by Melrose, Richard B.
9
A basic course in algebraic topology by Massey, William S.
4
The classification of critical points, caustics and wave fronts by Guseĭn-Zade, S. M.; Varchenko, A. N.; Arnolʹd, Vladimir Igorevich, 1937-
1.
Topology and analysis : the Atiyah-Singer index formula and gauge-theoretic physics by Booss, Bernhelm, 1941-; Bleecker, David; Mader, A.
4.
The classification of critical points, caustics and wave fronts by Guseĭn-Zade, S. M.; Varchenko, A. N.; Arnolʹd, Vladimir Igorevich, 1937-
7.
不変式論 by 森川, 寿
8.
The Atiyah-Patodi-Singer index theorem by Melrose, Richard B.
9.
A basic course in algebraic topology by Massey, William S.
11.
Spectral theory of ordinary differential operators by Weidmann, Joachim, 1939-