Two applications of twisted Floer homology

Details Two applications of twisted Floer homology Two applications of twisted Floer homology

2008-09-03

arxiv.org/abs/0809.0622v1

Int. Math. Res. Not. IMRN 2009, no. 19, 3726-3746

Mathematics

Geometric Topology

17 pages

Scientific paper

Given an irreducible closed 3--manifold $Y$, we show that its twisted Heegaard Floer homology determines whether $Y$ is a torus bundle over the circle. Another result we will prove is, if $K$ is a genus 1 null-homologous knot in an $L$--space, and the 0--surgery on $K$ is fibered, then $K$ itself is fibered. These two results are the missing cases of earlier results due to the second author.

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