[PDF.35um] Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem (Studies in Advanced Mathematics)
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Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem (Studies in Advanced Mathematics)
Peter B. Gilkey
[PDF.ry87] Invariance Theory: The Heat Equation and the Atiyah-Singer Index Theorem (Studies in Advanced Mathematics)
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| #3735167 in Books | CRC Press | 1994-12-22 | Original language:English | PDF # 1 | 9.21 x1.13 x6.14l,2.08 | File type: PDF | 536 pages | |
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 invar...
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