2014/05/22 by Jialin Zhu, Zhu, Jialin
Mathematics · #Advanced Operator Algebra Research #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #math.DG #math.GT
paper · pdf · doi:10.48550/arxiv.1405.5698
arxiv created 2014/05/22 · arxiv updated 2014/05/23
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.