paper

Rectangular diagrams of surfaces: the basic moves

arXiv:2011.04995 · doi:10.15673/tmgc.v13i4.1855

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.

26 pages, 18 figures