Gauge invariants of homology S^3 x S^1s

Algebra/Geometry/Topology Seminar

by Chris Hays

Institution: Michigan State University
Date: Mon 22nd June 2009
Time: 2:00 PM
Location: Room 213

Abstract: 4-manifolds with the homology of S^3 x S^1 show up as the result of many natural constructions. Thus, invariants of these manifolds have applications to other areas of topology. However, the classical gauge-theoretic invariants are not defined for homology S^3 x S^1s. I intend to discuss some of the constructions of these manifolds, and how to
construct invariants using monopole Floer homology. Lastly, I hope to discuss applications of this invariant.