English

Grid diagram for singular links

Geometric Topology 2021-01-11 v1

Abstract

In this paper, we define the set of singular grid diagrams SG\mathcal{SG} which provides a unified description for singular links, singular Legendrian links, singular transverse links, and singular braids. We also classify the complete set of all equivalence relations on SG\mathcal{SG} which induce the bijection onto each singular object. This is an extension of the known result of Ng-Thurston for non-singular links and braids.

Keywords

Cite

@article{arxiv.1708.03747,
  title  = {Grid diagram for singular links},
  author = {Byung Hee An and Hwa Jeong Lee},
  journal= {arXiv preprint arXiv:1708.03747},
  year   = {2021}
}

Comments

33 pages, 34 figures

R2 v1 2026-06-22T21:13:02.968Z