English

Hyperbolic, L-space knots and exceptional Dehn surgeries

Geometric Topology 2014-10-16 v1

Abstract

A knot in the 3-sphere is called an L--space knot if it admits a nontrivial Dehn surgery yielding an L--space. Like torus knots and Berge knots, many L--space knots admit also a Seifert fibered surgery. We give a concrete example of a hyperbolic, L-space knot which has no exceptional surgeries, in particular, no Seifert fibered surgeries.

Keywords

Cite

@article{arxiv.1410.3975,
  title  = {Hyperbolic, L-space knots and exceptional Dehn surgeries},
  author = {Kimihiko Motegi and Kazushige Tohki},
  journal= {arXiv preprint arXiv:1410.3975},
  year   = {2014}
}

Comments

13 pages. arXiv admin note: text overlap with arXiv:1202.4211

R2 v1 2026-06-22T06:24:08.224Z