Obstructions to embeddings in 4-manifolds

Geometry Topology Seminar
Friday, April 9, 2021 - 1:00pm for 1 hour (actually 50 minutes)
On line
Anubhav Mukherjee – Georgia Tech
John Etnyre

Please Note: Note special day and time.

In this talk I will discuss some new properties of an invariant for 4-manifold with boundary which was originally defined by Nobuo Iida. As one of the applications of this new invariant I will demonstrate how one can obstruct a knot from being h-slice (i.e bound a homologically trivial disk)  in 4-manifolds. Also, this invariant can be useful to detect exotic smooth structures of 4-manifolds. This a joint work with Nobuo Iida and Masaki Taniguchi.