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.
Borel summation of the small time expansion of the heat kernel. The scalar potential case
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abstract
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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2026 1verdicts
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Heat Kernel and Resurgence
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.