English

Non-separating spheres and twisted Heegaard Floer homology

Geometric Topology 2014-10-01 v1

Abstract

If a 3--manifold YY contains a non-separating sphere, then some twisted Heegaard Floer homology of YY 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 LL--spaces.

Keywords

Cite

@article{arxiv.0902.4034,
  title  = {Non-separating spheres and twisted Heegaard Floer homology},
  author = {Yi Ni},
  journal= {arXiv preprint arXiv:0902.4034},
  year   = {2014}
}

Comments

15 pages, 1 figure