6 papers
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…
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…
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…
Path homology of circulant digraphs
Xinxing Tang, Shing-Tung Yau
We study GLMY path homology of circulant digraphs through step-word complexes and infinite cyclic lifts. We first prove chain retractions for interval connection sets. For a fixed…
Contact Term Algebras and Dijkgraaf's Master Equation
Zhengping Gui, Si Li, Xinxing Tang
This paper is devoted to study integrable deformations of chiral conformal field theories on elliptic curves from the viewpoint of contact algebra. We introduce the relevant integr…
The Cellular Homology of Digraphs
Xinxing Tang, Shing-Tung Yau
In \cite{TY}, we investigate the pair $(P, \Supp(P))$ of minimal path and its supporting sub-digraph $\Supp(P)$ in the path complex of a digraph under the strongly regular…