September 9, 2019
TITLE: The eta invariant under cone-edge degeneration
ABSTRACT: I will discuss an analytic approach to the computation of the \bar\nu invariant introduced by Crowley, Goette and Nordström.
The \bar\nu invariant is made up of \eta invariants: following work by Sher, I will talk about the behaviour of these invariants under cone-edge degeneration of the underlying manifold. The results can be applied to the computation of the \bar\nu invariant of Joyce’s G_2 manifolds… with some restrictions.