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

DOI10.21099/TKBJM/20214501069zbMath1483.53072OpenAlexW3209109484MaRDI QIDQ824132

Masayoshi Nagase, Takumi Shirakawa

Publication date: 14 December 2021

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/tsukuba-journal-of-mathematics/volume-45/issue-1/A-formula-for-the-heat-kernel-coefficients-of-the-Dirac/10.21099/tkbjm/20214501069.full

zbMATH Keywords

spin manifoldDirac LaplacianGetzler's rescaling transformationheat kernel coefficient

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Cites Work

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• Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem
• A short proof of the local Atiyah-Singer index theorem
• A formula for the heat kernel coefficients on Riemannian manifolds
• On the heat equation and the index theorem

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