English

The crossing number of satellite knots

Geometric Topology 2014-11-11 v2

Abstract

We show that the crossing number of a satellite knot is at least 10^{-13} times the crossing number of its companion knot.

Keywords

Cite

@article{arxiv.1106.3095,
  title  = {The crossing number of satellite knots},
  author = {Marc Lackenby},
  journal= {arXiv preprint arXiv:1106.3095},
  year   = {2014}
}

Comments

26 pages, 10 figures; v2: a significant gap in the proof has been filled