Seminars & Colloquia Calendar
The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds
Francesco Lin (Princeton)
Location: Hill 525
Date & time: Tuesday, 23 October 2018 at 3:40PM - 4:40PM
Abstract: While both hyperbolic geometry and Floer homology have both been tremendously successful tools when studying three-dimensional topology, their relationship is still very mysterious. In this talk, we provide sufficient conditions for a hyperbolic rational homology sphere not to admit irreducible solutions to the Seiberg-Witten equations in terms of its volume and the length spectrum (i.e. the set of lengths of closed geodesics). We discus explicit examples in which this criterion can be applied.
This is joint work with Michael Lipnowski.