Non-separating spheres and twisted Heegaard Floer homology

Details Non-separating spheres and twisted Heegaard Floer homology Non-separating spheres and twisted Heegaard Floer homology

2009-02-23

arxiv.org/abs/0902.4034v1

Mathematics

Geometric Topology

15 pages, 1 figure

Scientific paper

If a 3--manifold $Y$ contains a non-separating sphere, then some twisted
Heegaard Floer homology of $Y$ is zero. This simple fact allows us to prove
several results about Dehn surgery on knots in such manifolds. Similar results
have been proved for knots in $L$--spaces.

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