English

Lens spaces obtainable by surgery on doubly primitive knots

Geometric Topology 2014-10-01 v2

Abstract

In this paper, we consider which lens spaces are obtainable by Dehn surgery described by Berge on doubly primitive knots. It is given an algorithm to decide whether a given lens space is obtainable by such surgery. Also included is a complete characterization of such surgery yielding lens spaces with Klein bottles.

Keywords

Cite

@article{arxiv.0708.3347,
  title  = {Lens spaces obtainable by surgery on doubly primitive knots},
  author = {Kazuhiro Ichihara and Toshio Saito},
  journal= {arXiv preprint arXiv:0708.3347},
  year   = {2014}
}

Comments

9 pages, 8 figures