24 citations · 26 across the 6 of their papers we have counts for
6 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…
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…
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…
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…
Crank equidistribution and -overlined partitions
Adithya Chakravarthy, Joshua Males, Shuyang Shen
In a paper published in 2023, Wagner introduced and studied Jacobi forms with complex multiplication, and gave several applications. One such application was in constructing a new…
Fried conjecture in small dimensions
Nguyen Viet Dang, Colin Guillarmou, Gabriel Rivière +1
We study the twisted Ruelle zeta function for smooth Anosov vector fields acting on flat vector bundles over smooth compact manifolds. In dimension , we prove Fried…