On an invariant of pure braids

V. O. Manturov; Мантуров В. О.; I. M. Nikonov; Никонов И. М.

doi:10.31857/S2686954324020129

On an invariant of pure braids

Authors: Manturov V.O.¹^,2, Nikonov I.M.¹^,2^,3
Affiliations:
1. Moscow Institute of Physics and Technology
2. Nosov Magnitogorsk State Technical University
3. Lomonosov Moscow State University
Issue: Vol 516 (2024)
Pages: 79-82
Section: MATHEMATICS
URL: https://ruspoj.com/2686-9543/article/view/647965
DOI: https://doi.org/10.31857/S2686954324020129
EDN: https://elibrary.ru/XHVUPC
ID: 647965

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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

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About the authors

V. O. Manturov

Moscow Institute of Physics and Technology; Nosov Magnitogorsk State Technical University

Author for correspondence.
Email: vomanturov@yandex.ru

Moscow Center for Fundamental and Applied Mathematics

Russian Federation, Moscow; Magnitogorsk

I. M. Nikonov

Moscow Institute of Physics and Technology; Nosov Magnitogorsk State Technical University; Lomonosov Moscow State University

Email: vomanturov@yandex.ru

Moscow Center for Fundamental and Applied Mathematics

Russian Federation, Moscow; Magnitogorsk; Moscow

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