English

Lens space surgeries and L-space homology spheres

Geometric Topology 2007-10-15 v1

Abstract

We describe necessary and sufficient conditions for a knot in an L-space to have an L-space homology sphere surgery. We use these conditions to reformulate a conjecture of Berge about which knots in S^3 admit lens space surgeries.

Keywords

Cite

@article{arxiv.0710.2531,
  title  = {Lens space surgeries and L-space homology spheres},
  author = {Jacob Rasmussen},
  journal= {arXiv preprint arXiv:0710.2531},
  year   = {2007}
}

Comments

23 pages, 3 figures