1 citations · 3 across the 13 of their papers we have counts for
13 papers
Renormalizations in holomorphic field theories on Kähler manifolds
Minghao Wang, Junrong Yan
The divergence of Feynman graph integrals is one of the central issues in the study of perturbative quantum field theories. A rigorous formulation of these integrals usually requir…
The classical Weyl law for Schrödinger operators on complete Riemannian manifolds
Maxim Braverman, Xianzhe Dai, Junrong Yan
We establish a criterion for the validity of the classical (non-semiclassical) Weyl law for Schrödinger operators on complete Riemannian manifolds. In contrast to existin…
Feynman Graph Integrals on Kähler Manifolds
Minghao Wang, Junrong Yan
In this paper, we establish the convergence of Feynman graph integrals on closed real-analytic Kähler manifolds and uncover the structural mechanism underlying this convergence. Th…
A first eigenvalue estimate for embedded hypersurfaces in positive Ricci curvature manifolds
Fagui Li, Junrong Yan
Let be a closed, embedded, oriented hypersurface in a closed oriented Riemannian manifold . Under a lower bound on the Ricci curvature and an upper bound on the sectional cu…
A new proof of gluing formula for analytic torsion forms
Junrong Yan
By extending the author's prior work to the family case, this paper presents a new proof of the gluing formula for the analytic torsion forms, considerably simplifying the proof gi…
Witten deformation for non-Morse functions and gluing formula for analytic torsions
Junrong Yan
This paper concentrates on analyzing Witten deformation for a family of non-Morse functions parameterized by , resulting in a novel, purely analytic proof of the…