2 citations · 10 across the 8 of their papers we have counts for
8 papers
Atiyah-Patodi-Singer index and domain-wall eta invariants
Jialin Zhu
In this paper we establish a formula, expressing the generalized Atiyah-Patodi-Singer index in terms of eta invariants of domain-wall massive Dirac operators, without assuming that…
A comparison of the absolute and relative real analytic torsion forms
Jialin Zhu
In this paper we establish a comparison formula of the absolute and relative real analytic torsion forms over fibrations with boundaries. The key tool is a gluing formula of analyt…
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…
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…
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.…
Gluing formula of real analytic torsion forms and adiabatic limit
Jialin Zhu
In this article we use the adiabatic method to prove the gluing formula of real analytic torsion forms for a flat vector bundle on a smooth fibration under the assumption that the…
On the gluing formula of real analytic torsion forms
Jialin Zhu
In this paper we extend first the Bismut-Lott's analytic torsion form for flat vector bundles to the boundary case, then we establish its gluing formula on a smooth fibration under…
The first terms in the expansion of the Bergman kernel in higher degrees
Martin Puchol, Jialin Zhu
We establish the cancellation of the first terms in the diagonal asymptotic expansion of the restriction to the -forms of the Bergman kernel associated to the spin${}^…