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 with a vector potential
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abstract
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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math-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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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.