Siye Wu, HKU, Hong Kong

Analytic torsion of twisted de Rham and Dolbeault complexes

Abstract

Associated to a topological space there are many invariants. One of them is torsion, which can be defined combinatorially by simplicial method or analytically by zeta-function regularisation when the space is a manifold. In this talk, I will explain how to generalise the analytic torsion by adding a flux form motivated from physics as well as its holomorphic analogue. This is a joint work with Mathai.