Stefan Friedl, Stefano Vidussi
Published 2009-12-31Version 1
In a series of papers the authors proved that twisted Alexander polynomials detect fibered 3-manifolds, and they showed that this implies that a closed 3-manifold N is fibered if and only if S^1 x N is symplectic. In this note we summarize some of the key ideas of the proofs. We also give new evidence to the conjecture that if $ is a symplectic 4-manifold with a free S^1-action, then the orbit space is fibered.
Comments: 22pages, 2 figures to be published by the Proceedings of the Georgia International Topology Conference 2009
4-dimensional aspects of tight contact 3-manifolds
Homotopy approximations to the space of knots, Feynman diagrams, and a conjecture of Scannell and Sinha
Continuity of volumes -- on a generalization of a conjecture of J. W. Milnor
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