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Invariance Theory

- The Heat Equation and the Atiyah-Singer Index Theorem

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Treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. This work also uses heat equation methods 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.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9780849378744
  • Indbinding:
  • Hardback
  • Sideantal:
  • 530
  • Udgivet:
  • 22. december 1994
  • Størrelse:
  • 241x164x35 mm.
  • Vægt:
  • 910 g.
  • 2-4 uger.
  • 14. december 2024
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Treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. This work also uses heat equation methods 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.

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