#### Volume 13, issue 2 (2013)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Nonseparating spheres and twisted Heegaard Floer homology

### Yi Ni

Algebraic & Geometric Topology 13 (2013) 1143–1159
##### Abstract

If a $3$–manifold $Y$ contains a nonseparating 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.

##### Keywords
twisted Heegaard Floer homology, nonseparating sphere, Thurston norm, fibered knot, cosmetic surgery
Primary: 57M27
Secondary: 57R58