English

A note on cabling and L-space surgeries

Geometric Topology 2011-11-29 v1

Abstract

We prove that the (p,q)-cable of a knot K in S^3 admits a positive L-space surgery if and only if K admits a positive L-space surgery and q/p \geq 2g(K)-1, where g(K) is the Seifert genus of K. The "if" direction is due to Hedden.

Keywords

Cite

@article{arxiv.0912.4046,
  title  = {A note on cabling and L-space surgeries},
  author = {Jennifer Hom},
  journal= {arXiv preprint arXiv:0912.4046},
  year   = {2011}
}

Comments

3 pages

R2 v1 2026-06-21T14:26:25.823Z