Fibered 3-manifolds and symplectic 4-manifolds
Stefan Friedl (University of Warwick)
Monday 27th October, 2008 16:00-17:00 Mathematics Building, room 214
In 1976 Thurston showed that if N is a fibered 3-manifold, then S^1 x N is a symplectic 4-manifold. In this talk we will show the converse, i.e. if N is a 3-manifold such that S^1 x N is symplectic, then N is fibered. We will prove this result by showing that twisted Alexander polynomials (a generalization of the classical Alexander polynomial of a knot) detects fibered 3-manifolds. The talk is based on joint work with Stefano Vidussi.