English

Rectangular diagrams of foliations

Geometric Topology 2025-08-12 v1

Abstract

A concept of a rectangular diagram of a foliation in the three-sphere is introduced. It is shown that any co-orientable finite depth foliation in the complement of a link admits a presentation by a rectangular diagram compatible with the given rectangular diagram of the link.

Keywords

Cite

@article{arxiv.2508.07732,
  title  = {Rectangular diagrams of foliations},
  author = {Mikhail Chernavskikh and Ivan Dynnikov},
  journal= {arXiv preprint arXiv:2508.07732},
  year   = {2025}
}

Comments

40 pages, 25 figures

R2 v1 2026-07-01T04:43:50.123Z