Borel summation of the small time expansion of the heat kernel. The scalar potential case

Thierry Harge (AGM)

Borel summation of the small time expansion of the heat kernel. The scalar potential case

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arxiv 1301.7742 v1 pith:FW4U4SA4 submitted 2013-01-31 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 for the Schr\"odinger operator in several dimensions. On the torus, we prove a Poisson formula.

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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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