On the Atiyah-Patodi-Singer index theorem

Hang Wang Íõº½  (ECNU)

14:00-15:00, April 1, 2019   Science Building A510

Abstract:

For a compact even dimensional Riemannian manifold with boundary, with product metric near the boundary, a Dirac type operator with APS boundary condition is a Fredholm operator whose index can be calculated by the APS index formula. We introduce a new method of obtaining the formula by considering the manifold with boundary by attaching a cylindrical end carrying (weighted) L^2 conditions. This is part of a joint work with Peter Hochs and Bai-Ling Wang.