ENGLISH

Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem

By Gilkey P.B.

Book information

Year
1996
Language
english
Format
GZ
Filesize
819 kB (838403 bytes)
Pages
349\352
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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.

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