2 papers
math.GN2026
Invariants of the Colored Braid Groupoid
Illia E. Rohozhkin
In this paper, a braid is regarded as a dynamical system of points in the plane. The states of this dynamical system are given by Delaunay triangulations. This construction makes i…
math.AT2025
Pentagon equations, Delaunay triangulations and pure braid group invariant
Illia E. Rohozhkin
We construct matrices corresponding to a motion of points on the plane from the point of view of Delaunay triangulations. We define a homomorphism from the pu…