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Joint LA Topology Seminar

Monday, April 23, 2018
5:00pm to 6:00pm
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Seiberg-Witten invariants of 4-dimensional homology circles
Danny Ruberman, Department of Mathematics, Brandeis University,

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].