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The index theorem and the heat equation method

This volume provides a self-contained represenation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first-order geometric elliptic operators by using the heat-equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems.

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  • "This volume provides a self-contained represenation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first-order geometric elliptic operators by using the heat-equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems."@en

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  • "Electronic books"
  • "Electronic books"@en
  • "Livres électroniques"

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  • "The index theorem and the heat equation method"
  • "The index theorem and the heat equation method"@en
  • "The Index Theorem and the Heat Equation Method"
  • "The Index Theorem and The Heat Equation Method"@en

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