English

Resolution depth of positive braids

Geometric Topology 2014-12-04 v1

Abstract

The depth of a link measures the minimum height of a resolving tree for the link whose leaves are all unlinks. We show that the depth of the closure of a strictly positive braid word is the length of the word minus the number of distinct letters.

Cite

@article{arxiv.1412.1466,
  title  = {Resolution depth of positive braids},
  author = {Elliot Kaplan and David Krcatovich and Patricia O'Brien},
  journal= {arXiv preprint arXiv:1412.1466},
  year   = {2014}
}

Comments

9 pages, 6 figures

R2 v1 2026-06-22T07:19:37.332Z