Borel summation of the small time expansion of the heat kernel with a vector potential

Thierry Harge (AGM)

Borel summation of the small time expansion of the heat kernel with a vector potential

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arxiv 1302.0604 v1 pith:OXHTAY2T submitted 2013-02-04 math-ph math.MP

Thierry Harge (AGM) This is my paper · ORCID

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We study the Borel summability of the small time expansion of the heat kernel associated to a first order perturbation of a Laplacian. An explicit formula for this kernel plays a central role. As a consequence, we get a Poisson formula on the torus.

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Heat Kernel and Resurgence
math-ph 2026-06 unverdicted novelty 7.0 of 10

Proposes an infinite-dimensional Picard-Lefschetz/Morse-Floer problem for the heat kernel and a heat-kernel analogue of the Picard-Lefschetz/Alien correspondence, with a confirming test on the hyperbolic plane H^2.

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