English

Cyclic sets from ribbon string links

Algebraic Topology 2022-11-22 v1 Geometric Topology Quantum Algebra

Abstract

In this paper, we first endow the set of ribbon string links (up to isotopy) with a structure of a cyclic and of a cocyclic set. Next, we relate these (co)cyclic sets with those associated with the coend of a ribbon category. The relationship is given by the universal quantum invariants \`a la Reshetikhin-Turaev.

Keywords

Cite

@article{arxiv.2211.10977,
  title  = {Cyclic sets from ribbon string links},
  author = {Ivan Bartulović},
  journal= {arXiv preprint arXiv:2211.10977},
  year   = {2022}
}

Comments

23 pages, many figures

R2 v1 2026-06-28T06:18:34.649Z