Obstructions to embeddings in 4-manifolds using Bauer--Furuta type invariant

Abstract: 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.

Mathematics

Audience: researchers in the topic

MIT Geometry and Topology Seminar

Series comments: Password is "topology".