Geometry and Topology Seminar, "On gauge theoretic invariants of homology S^1 x S^3", Nikolai Saveliev
This seminar is joint with the PDE/Analysis Seminar
Speaker: Niolai Saveliev, University of Miami
Title: On gauge theoretic invariants of homology S^1 x S^3
Abstract: I will survey some recent joint work on invariants of smooth 4-manifolds with homology of S^1 x S^3. In our older work with Tom Mrowka and Daniel Ruberman we defined a Seiberg-Witten invariant of such manifolds. I will present a new formula (from our recent work with Jianfeng Lin and Daniel Ruberman) which expresses this invariant in terms of the monopole Floer homology and leads to some interesting topological applications.