English

Studying links via booklinks: A Markov theorem

Geometric Topology 2024-11-18 v1

Abstract

We introduce "book links" as a generalization of braids in open book decompositions; this new class of objects includes both braids and plats as special cases. We then prove a version of Markov's theorem in this general setting by extending the theory of open book foliations.

Keywords

Cite

@article{arxiv.2411.09839,
  title  = {Studying links via booklinks: A Markov theorem},
  author = {Roman Aranda and Fraser Binns and Margaret Doig},
  journal= {arXiv preprint arXiv:2411.09839},
  year   = {2024}
}

Comments

11 pages, 9 figures

R2 v1 2026-06-28T20:00:35.638Z