8 citations · 24 across the 9 of their papers we have counts for
9 papers
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…
Positive scalar curvature and the Euler class
Jianqing Yu, Weiping Zhang
We prove the following generalization of the classical Lichnerowicz vanishing theorem: if is an oriented flat vector bundle over a closed spin manifold such that carri…
On the Witten Rigidity Theorem for Odd Dimensional Manifolds
Fei Han, Jianqing Yu
We establish several Witten type rigidity and vanishing theorems for twisted Toeplitz operators on odd dimensional manifolds. We obtain our results by combining the modular method,…
Higher Spectral Flow for Dirac Operators with Local Boundary Conditions
Jianqing Yu
We consider a gauge invariant one parameter family of families of fiberwise twisted Dirac type operators on a fiberation with the typical fiber an even dimensional compact manifold…
Comparison between two analytic torsions on orbifolds
Xianzhe Dai, Jianqing Yu
In this paper, we establish an equality between the analytic torsion introduced by Dar\cite{MR876230} and the orbifold analytic torsion defined by Ma \cite{MR2140438} on a compact…
On the Witten Rigidity Theorem for String Manifolds
Jianqing Yu, Bo Liu
We establish the family rigidity and vanishing theorems on the equivariant -theory level for the Witten type operators on String manifolds introduced by Chen-Han-Zhang.
Rigidity and Vanishing Theorems on Spin manifolds
Bo Liu, Jianqing Yu
In this paper, we first establish an -equivariant index theorem for Spin Dirac operators on manifolds, then combining with the methods developed by Taubes \…
On the Anomaly Formula for the Cappell-Miller Holomorphic Torsion
Bo Liu, Jianqing Yu
We present an explicit expression of the anomaly formula for the Cappell-Miller holomorphic torsion for Kähler manifolds.