English

Splitting numbers of links and the four-genus

Geometric Topology 2018-06-13 v1

Abstract

The splitting number of a link is the minimum number of crossing changes between distinct components that is required to convert the link into a split link. We provide a bound on the splitting number in terms of the four-genus of related knots.

Keywords

Cite

@article{arxiv.1609.04353,
  title  = {Splitting numbers of links and the four-genus},
  author = {Charles Livingston},
  journal= {arXiv preprint arXiv:1609.04353},
  year   = {2018}
}

Comments

6 pages, 2 figures