English

Rectangular diagrams of surfaces: the basic moves

Geometric Topology 2021-03-31 v1

Abstract

In earlier papers we introduced a representation of isotopy classes of compact surfaces embedded in the three-sphere by so called rectangular diagrams. The formalism proved useful for comparing Legendrian knots. The aim of this paper is to prove a Reidemeister type theorem for rectangular diagrams of surfaces.

Keywords

Cite

@article{arxiv.2011.04995,
  title  = {Rectangular diagrams of surfaces: the basic moves},
  author = {Ivan Dynnikov and Maxim Prasolov},
  journal= {arXiv preprint arXiv:2011.04995},
  year   = {2021}
}

Comments

26 pages, 18 figures