English

The knots that lie above all shadows

Geometric Topology 2019-03-06 v1

Abstract

We show that for each even integer m2m\ge 2, every reduced shadow with sufficiently many crossings is a shadow of a torus knot T(2,m+1), or of a twist knot TmT_m, or of a connected sum of mm trefoil knots.

Keywords

Cite

@article{arxiv.1903.01971,
  title  = {The knots that lie above all shadows},
  author = {Carolina Medina and Gelasio Salazar},
  journal= {arXiv preprint arXiv:1903.01971},
  year   = {2019}
}
R2 v1 2026-06-23T07:58:57.997Z