Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form
Differential Geometry
2008-07-25 v1
Abstract
For a complex flat vector bundle over a fibered manifold, we consider the 1-parameter family of certain deformed sub-signature operators introduced by Ma-Zhang. We compute the adiabatic limit of the Bismut-Freed connection associated to this family and show that the Bismut-Lott analytic torsion form shows up naturally under this procedure.
Keywords
Cite
@article{arxiv.0807.3782,
title = {Adiabatic limit, Bismut-Freed connection, and the real analytic torsion form},
author = {Xianzhe Dai and Weiping Zhang},
journal= {arXiv preprint arXiv:0807.3782},
year = {2008}
}