5 citations · 17 across the 10 of their papers we have counts for
10 papers
A remark on the higher torsion invariants for flat vector bundles with finite holonomy
Lie Fu, Yeping Zhang
We show that the Igusa-Klein topological torsion and the Bismut-Lott analytic torsion are equivalent for any flat vector bundle whose holonomy is a finite subgroup of $\mathrm{GL}_…
A comparison between the Bismut-Lott torsion and the Igusa-Klein torsion
Martin Puchol, Yeping Zhang, Jialin Zhu
We consider a fibration with compact fiber together with a unitarily flat complex vector bundle over the total space. Under the assumption that the fiberwise cohomology admits a fi…
Sub-Riemannian geometry on some step-two Carnot groups
Hong-Quan Li, Ye Zhang
This paper is a continuation of the previous work of the first author. We characterize a class of step-two groups introduced in \cite{Li19}, saying GM-groups, via some basic sub-Ri…
Adiabatic limit, Witten deformation and analytic torsion forms
Martin Puchol, Yeping Zhang, Jialin Zhu
We consider a smooth fibration equipped with a flat complex vector bundle and a hypersurface cutting the fibration into two pieces. Our main result is a gluing formula relating the…
Motivic integration and the birational invariance of BCOV invariants
Lie Fu, Yeping Zhang
Bershadsky, Cecotti, Ooguri, and Vafa constructed a real-valued invariant for Calabi--Yau manifolds, which is now called the BCOV torsion. Based on it, a metric-independent invaria…
BCOV invariant and blow-up
Yeping Zhang
Bershadsky, Cecotti, Ooguri and Vafa constructed a real valued invariant for Calabi-Yau manifolds, which is called the BCOV invariant. In this paper, we extend the BCOV invariant t…
An extension of BCOV invariant
Yeping Zhang
Bershadsky, Cecotti, Ooguri and Vafa constructed a real valued invariant for Calabi-Yau manifolds, which is called the BCOV invariant. In this paper, we consider a pair , wh…
BCOV invariant for Calabi-Yau pairs
Yeping Zhang
We construct BCOV invariant for Calabi-Yau pairs. The construction covers the classical BCOV invariant and certain equivariant BCOV invariant. The BCOV invariant obtained is expect…
The direct image of a flat fibration with complex fibers
Yeping Zhang
We consider a proper flat fibration with real base and complex fibers. First we construct odd characteristic classes for such fibrations by a method that generalizes constructions…
Scattering Matrix and Analytic Torsion
Martin Puchol, Yeping Zhang, Jialin Zhu
For a compact manifold, which has a part isometric to a cylinder of finite length, we consider an adiabatic limit procedure, in which the length of the cylinder tends to infinity.…