32 citations · 63 across the 9 of their papers we have counts for
9 papers
Bismut hypoelliptic Laplacians for manifolds with boundaries
Francis Nier, Shu Shen
Boundary conditions for Bismut's hypoelliptic Laplacian which naturally correspond to Dirichlet and Neumann boundary conditions for Hodge Laplacians are considered. Those are relat…
Coherent sheaves, superconnections, and RRG
Jean-Michel Bismut, Shu Shen, Zhaoting Wei
Given a compact complex manifold, the purpose of this paper is to construct the Chern character for coherent sheaves with values in Bott-Chern cohomology, and to prove a correspond…
Analytic torsion, dynamical zeta function, and the Fried conjecture for admissible twists
Shu Shen
We show an equality between the analytic torsion and the absolute value at the zero point of the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space…
Complex valued analytic torsion and dynamical zeta function on locally symmetric spaces
Shu Shen
We show that the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted by an arbitrary flat vector bundle has a meromorphic extension to the wh…
Dynamical Zeta Functions in the Nonorientable Case
Yonah Borns-Weil, Shu Shen
We use a simple argument to extend the microlocal proofs of meromorphicity of dynamical zeta functions to the nonorientable case. In the special case of geodesic flow on a connecte…
Geometric orbital integrals and the center of the enveloping algebra
Jean-Michel Bismut, Shu Shen
The purpose of this paper is to extend the explicit geometric evaluation of semisimple orbital integrals for smooth kernels for the Casimir operator obtained by the first author to…
Morse-Smale flow, Milnor metric, and dynamical zeta function
Shu Shen, Jianqing Yu
We introduce a Milnor metric on the determinant line of the cohomology of the underlying closed manifold with coefficients in a flat vector bundle, by means of interactions between…
Flat vector bundles and analytic torsion on orbifolds
Shu Shen, Jianqing Yu
This article is devoted to a study of flat orbifold vector bundles. We construct a bijection between the isomorphic classes of proper flat orbifold vector bundles and the equivalen…
Analytic torsion, dynamical zeta functions, and the Fried conjecture
Shu Shen
We prove the equality of the analytic torsion and the value at zero of a Ruelle dynamical zeta function associated with an acyclic unitarily flat vector bundle on a closed locally…