English

On alternating quasipositive links

Geometric Topology 2024-12-03 v1

Abstract

We prove that if a quasipositive link can be represented by an alternating diagram satisfying the condition that no pair of Seifert circles is connected by a single crossing, then the diagram is positive and the link is strongly quasipositive.

Cite

@article{arxiv.2007.00093,
  title  = {On alternating quasipositive links},
  author = {Stepan Orevkov},
  journal= {arXiv preprint arXiv:2007.00093},
  year   = {2024}
}

Comments

4 pages

R2 v1 2026-06-23T16:45:02.504Z