Rectangular diagrams of surfaces: the basic moves

Published 10 Nov 2020 in math.GT | (2011.04995v1)

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.

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