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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2024 Volume 516, Pages 79–82 (Mi danma516)

MATHEMATICS

On an invariant of pure braids

V. O. Manturovab, I. M. Nikonovabc

a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b Magnitogorsk State Technical University, Magnitogorsk, Russia
c Lomonosov Moscow State University

Abstract: Using the recoupling theory, we define a representation of the pure braid group and show that it is not trivial.

Keywords: braid, Delaunay triangulation, recoupling theory, pentagon relation.

UDC: 515.162.8

Presented: A. L. Semenov
Received: 21.07.2023
Revised: 09.02.2024
Accepted: 25.03.2024

DOI: 10.31857/S2686954324020129


 English version:
Doklady Mathematics, 2024, 109:2, 164–166

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© Steklov Math. Inst. of RAS, 2025