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Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem
Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem
Date: 10 November 2010, 04:48

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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.
Related Articles:
Invariance   Theorem   Equation   Theory   Heat  

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