Peter B. (University of Oregon, Eugene, USA) Gilkey 
Invariance Theory [PDF ebook] 
The Heat Equation and the Atiyah-Singer Index Theorem

Sokongan

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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Format PDF ● Halaman-halaman 536 ● ISBN 9781351436434 ● Penerbit CRC Press ● Diterbitkan 2018 ● Muat turun 3 kali ● Mata wang EUR ● ID 7129753 ● Salin perlindungan Adobe DRM
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