4 papers
Grauert's direct image theorem via superconnections and desingularizations
Shu Shen, Jianqing Yu
We give a new differential-geometric proof of Grauert's theorem on the coherence of the higher direct image of a coherent sheaf under a proper holomorphic morphism between complex…
Geometric Zabrodin-Wiegmann conjecture for integer Quantum Hall states
Shu Shen, Jianqing Yu
The purpose of this article is to show a geometric version of Zabrodin-Wiegmann conjecture for an integer Quantum Hall state. Given an effective reduced divisor on a compact connec…
Heat kernel, large-time behavior, and representation theory
Shu Shen, Yanli Song, Xiang Tang
Given a real reductive group , the purpose of this paper is to show an asymptotic formula of the large-time behavior of the -trace of the heat operator on the associated symm…
Anosov vector fields and Fried sections
Jean-Michel Bismut, Shu Shen
The purpose of this paper is to prove that if is a compact manifold, if is an Anosov vector field on , and if is a flat vector bundle, there is a corresponding canon…