Title: Adiabatic Limit and Analytic Torsion of Vector Bundles

Speaker: Delin Liu, UCSB

Abstract: For a closed manifold, the analytic torsion is a secondary topological invariant that can be defined in terms of the determinant of Hodge Laplacian. In this talk, I will explain how Witten Laplacian can be used to generalize this construction to vector bundles over closed manifolds. I will also discuss how to relate the index and the analytic torsion of the total space to those of the base manifold. This is a joint work with Xianzhe Dai.