A formula for the heat kernel coefficients of the Dirac Laplacians on spin manifolds

Masayoshi Nagase; Takumi Shirakawa

doi:10.21099/tkbjm/20214501069

Abstract

Based on Getzler's rescaling transformation, we obtain a formula for the heat kernel coefficients of the Dirac Laplacian on a spin manifold. One can compute them explicitly up to an arbitrarily high order by using only a basic knowledge of calculus added to the formula.

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Masayoshi Nagase. Takumi Shirakawa. "A formula for the heat kernel coefficients of the Dirac Laplacians on spin manifolds." Tsukuba J. Math. 45 (1) 69 - 81, July 2021. https://doi.org/10.21099/tkbjm/20214501069

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Published: July 2021

First available in Project Euclid: 29 October 2021

Digital Object Identifier: 10.21099/tkbjm/20214501069

Subjects:

Primary: 53C27 , 58J35

Keywords: Dirac Laplacian , Getzler's rescaling transformation , heat kernel coefficient , spin manifold

Abstract

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