Index theorem and heat equation method
โ Scribed by Yanlin Yu
- Book ID
- 127423288
- Publisher
- World Scientific Publishing Company
- Year
- 2001
- Tongue
- English
- Weight
- 1 MB
- Series
- Nankai Tracts in Mathematics
- Category
- Library
- ISBN
- 9812810102
No coin nor oath required. For personal study only.
โฆ Synopsis
Provides a self-contained representation of the local version of the Atiyah-Singer index theorem. For researchers and graduate students in mathematics.
๐ SIMILAR VOLUMES
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 geometrica
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 geometrica
In this paper we give a local heat kernel proof for the combinatorial \(I\)-index theorem and the \(\Gamma\)-Lefschetz theorem. We also use this method to prove the combinatorial version of Roe's index theorem on open manifolds. "1995 Academic Press. Inc