Stably exotic 4-manifolds and fillings

Speaker:

Daniel Kasprowski

Zugehörigkeit:

University of Southampton

Datum:

Mon, 16/12/2024 - 14:00 - 15:00

Location:

MPIM Lecture Hall [2]

Parent event:

Low-dimensional topology seminar [3]

Two closed, smooth 4-manifolds are stably exotic if they are stably homeomorphic but not stably diffeomorphic. Orientable stable exotica do not exist by a result of Gompf, but Kreck showed that nonorientable examples are plentiful. I will give precise conditions for which normal 1-types stable exotica exist. This is joint work with Mark Powell.
I will also discuss the (non)existence of stably exotic fillings for some families of 3-manifolds. This is joint work with Patrick Orson, Mark Powell and Aru Ray.