Heegaard Floer homology and fibred 3--manifolds
arXiv:0706.2032
Abstract
Given a closed 3--manifold , we show that the Heegaard Floer homology determines whether fibres over the circle with a fibre of negative Euler characteristic. This is an analogue of an earlier result about knots proved by Ghiggini and the author.
Version 3: 16 pages, 1 figure. This version incorporates the corrigendum to a previous paper. To appear in American Journal of Mathematics. Version 2: Corrects some mistakes in Version 1. The last section of Version 1 is replaced using a quite different and much simpler method. Exposition improved according to the referee's suggestions