English

Seifert fibered surgery and Rasmussen invariant

Geometric Topology 2015-03-18 v2

Abstract

We give a new criterion for a given knot to be a Montesinos knot by using the Rasmussen invariant and the signature. We apply the criterion to study Seifert fibered surgery on a strongly invertible knot, and show that a (p,q,q)(p,q,q)-pretzel knot with integers p,q2p,q \ge 2 admits no Seifert fibered surgery.

Keywords

Cite

@article{arxiv.1102.1117,
  title  = {Seifert fibered surgery and Rasmussen invariant},
  author = {Kazuhiro Ichihara and In Dae Jong},
  journal= {arXiv preprint arXiv:1102.1117},
  year   = {2015}
}

Comments

15 pages, 8 figures