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math-ph2026
Resurgence and Complex Geodesics for the Heisenberg Heat Kernel
Xinxing Tang
We study complex geodesic actions and heat-kernel resurgence on isotropic Heisenberg groups. For real endpoints with , the nonzero finite singularities reached by analyt…
math-ph2026
Picard-Lefschetz theory and alien calculus: a case study
Si Li, Yong Li, Xinxing Tang
We compare Picard--Lefschetz theory and resurgence in three basic one-dimensional exponential integrals: the Airy model, the Bessel model, and the Gamma model. On the Picard--Lefsc…
math-ph2026
Heat Kernel and Resurgence
Si Li, Yong Li, Xinxing Tang
We study the resurgent structure of short--time heat kernel asymptotics from the viewpoint of Picard--Lefschetz theory. For a real analytic Riemannian manifold, we show the heat ke…