3-Manifold Seminar: SW invariants for manifolds with contact boundary and an application to taut foliations

Seminar | October 31 | 11:10 a.m.-12:30 p.m. | 939 Evans Hall

 Chi Cheuk Tsang, UC BERKELEY

 Department of Mathematics

Following a paper by Kronheimer and Mrowka, we will define Seiberg-Witten invariants for 4-manifolds with contact boundary, then we will use them to prove that there are only finitely many homotopy classes of plane fields which can be realized as taut foliations on a 3-manifold. If time permits, we will also explore some connections of this with Monopole Floer theory.