Pentagon equations, Delaunay triangulations and pure braid group invariant

We construct [Formula: see text] 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 ([Formula: see text]) strands to the general linear group [Formula: see text].

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-02-15
DOI
https://doi.org/10.1142/s0218216525400073
Primary Topic
Nonlinear Waves and Solitons
Type
article
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article

Pentagon equations, Delaunay triangulations and pure braid group invariant

Illia E. Rohozhkin
Journal of Knot Theory and Its Ramifications
Nonlinear Waves and Solitons
article

Pentagon equations, Delaunay triangulations and pure braid group invariant

Illia E. Rohozhkin
article en

Abstract

We construct [Formula: see text] 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 ([Formula: see text]) strands to the general linear group [Formula: see text].

Journal of Knot Theory and Its RamificationsVol. 34(14)
Moscow Institute of Physics and Technology (RU)
Climate action
Openalex Percentile: Top 97%
Nonlinear Waves and Solitons
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Pentagon equations, Delaunay triangulations and pure braid group invariant — Illia E. Rohozhkin · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS