8 citations · 16 across the 6 of their papers we have counts for
8 papers
Generalized Morse Functions, Excision and Higher Torsions
Martin Puchol, Junrong Yan
Comparing invariants from both topological and geometric perspectives is a key focus in index theorem. This paper compares higher analytic and topological torsions and establishes…
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…
Variance of the volume of random real algebraic submanifolds II
Thomas Letendre, Martin Puchol
Let be a complex projective manifold of dimension defined over the reals and let be its real locus. We study the vanishing locus in of a rando…
Holomorphic Morse inequalities for orbifolds
Martin Puchol
We prove that Demailly's holomorphic Morse inequalities hold true for complex orbifolds by using a heat kernel method. Then we introduce the class of Moishezon orbifolds and as an…
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.…
G-invariant Holomorphic Morse inequalities
Martin Puchol
Consider an action of a connected compact Lie group on a compact complex manifold , and two equivariant vector bundles and on , with of rank 1. The purpose of thi…
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${}^…