English

Tight fibred knots without L-space surgeries

Geometric Topology 2023-06-22 v1

Abstract

We show there exist infinitely many knots of every fixed genus g2g\geq 2 which do not admit surgery to an L-space, despite resembling algebraic knots and L-space knots in general: they are algebraically concordant to the torus knot T(2,2g+1)T(2,2g+1) of the same genus and they are fibred and strongly quasipositive.

Keywords

Cite

@article{arxiv.1906.11760,
  title  = {Tight fibred knots without L-space surgeries},
  author = {Filip Misev and Gilberto Spano},
  journal= {arXiv preprint arXiv:1906.11760},
  year   = {2023}
}

Comments

11 pages, 2 figures

R2 v1 2026-06-23T10:05:39.611Z