Local index theorem for Dirac operator

DOI10.1007/BF02565028zbMath0643.58020OpenAlexW118241069MaRDI QIDQ3785646

Yan Lin Yu

Publication date: 1987

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02565028

zbMATH Keywords

Dirac operatorlocal index theoremPatodi's method

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (8)

A remark on the regularity of the ν-function of dirac operators ⋮ The equivariant noncommutative Atiyah-Patodi-Singer index theorem ⋮ Local Riemann-Roch theorem for almost Hermitian manifolds ⋮ Local index theorem for signature operators ⋮ A Direct Geometric Proof of the Lefschetz Fixed Point Formulas ⋮ The equivariant Dirac cyclic cocycle ⋮ Trigonometry (II) ⋮ The mathematical work of V. K. Patodi

Cites Work

• Curvature and the eigenforms of the Laplace operator
• An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds
• On the heat equation and the index theorem

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