Gluing formula of real analytic torsion forms and adiabatic limit
Geometric Topology
2014-05-23 v1 Differential Geometry
Abstract
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 fiberwise twisted cohomology groups associated to the fibration of the cutting hypersurface are vanished. In this paper we assume that the metrics have product structures near the cutting hypersurface.
Keywords
Cite
@article{arxiv.1405.5698,
title = {Gluing formula of real analytic torsion forms and adiabatic limit},
author = {Jialin Zhu},
journal= {arXiv preprint arXiv:1405.5698},
year = {2014}
}