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    Index Theorem And The Heat Equation Method, The

    Index Theorem And The Heat Equation Method, The

    Af
    Bog
    • Format
    • Bog, hardback
    • Engelsk
    • 308 sider

    Beskrivelse

    This book provides a self-contained representation 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, and it seems to be as efficient as other methods.

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    Atiyah-Singer index theorem Fundamental solution Chern Root Algorithm Heat Equation Method Local Index Theorem
    Machine Name: SAXO082