English

Crosscap numbers of torus knots

Geometric Topology 2007-05-23 v2

Abstract

The crosscap number of a knot in the 3-sphere is the minimal genus of non-orientable surface bounded by the knot. We determine the crosscap numbers of torus knots.

Keywords

Cite

@article{arxiv.math/0207203,
  title  = {Crosscap numbers of torus knots},
  author = {Masakazu Teragaito},
  journal= {arXiv preprint arXiv:math/0207203},
  year   = {2007}
}

Comments

19 pages, 9 figures

R2 v1 2026-07-22T16:46:46.024Z