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arXiv · 2405.10240

Pentagon equations, Delaunay triangulations and pure braid group invariant

Illia E. Rohozhkin
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Abstract

We construct $(2n+1)\times (2n+1)$ matrices corresponding to a motion of points on the plane from the point of view of Delaunay triangulations. We define a homomorphism from the pure braid group on ($n+3$) strands to the general linear group $\text{GL}_{2n+1}(\mathbb{Q})$.

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Illia E. Rohozhkin. 2024-05-16. Pentagon equations, Delaunay triangulations and pure braid group invariant. https://arxiv.org/abs/2405.10240

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