Heegaard Floer homology and fibred 3--manifolds

Details Heegaard Floer homology and fibred 3--manifolds Heegaard Floer homology and fibred 3--manifolds

2007-06-14

arxiv.org/abs/0706.2032v3

Mathematics

Geometric Topology

Version 3: 16 pages, 1 figure. This version incorporates the corrigendum to a previous paper. To appear in American Journal of

Scientific paper

Given a closed 3--manifold $Y$, we show that the Heegaard Floer homology
determines whether $Y$ 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.

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