(Download) "Invariance Theory" by Peter B Gilkey # Book PDF Kindle ePub Free
eBook details
- Title: Invariance Theory
- Author : Peter B Gilkey
- Release Date : January 02, 2018
- Genre: Mathematics,Books,Science & Nature,Physics,
- Pages : * pages
- Size : 40766 KB
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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