Joint LA Topology Seminar
Seiberg-Witten invariants of 4-dimensional homology circles
UCLA MS 6627
Most applications of gauge theory in 4-dimensional topology are concerned with simply-connected manifolds with non-trivial second homology. I will discuss the opposite situation, first describing a Seiberg-Witten invariant for manifolds with first homology = Z and vanishing second homology; this invariant has an unusual index-theoretic correction term. I will discuss recent work with Jianfeng Lin and Nikolai Saveliev giving a new formula for this invariant in terms of monopole homology, and some calculations and applications.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].
Event Series
Caltech/USC/UCLA Joint Topology Seminar Series
Event Sponsors