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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 516, Pages 79–82
DOI: https://doi.org/10.31857/S2686954324020129 (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
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DOI: https://doi.org/10.31857/S2686954324020129
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.
Funding agency Grant number
Russian Science Foundation 22-19-20073
This work was supported by the Russian Science Foundation (grant no. 22-19-20073 of March 25, 2022, “Complex study of the applicability of self-trapping structures for increasing the stiffness of materials and structures”).
Presented: A. L. Semenov
Received: 21.07.2023
Revised: 09.02.2024
Accepted: 25.03.2024
English version:
Doklady Mathematics, 2024, Volume 109, Issue 2, Pages 164–166
DOI: https://doi.org/10.1134/S1064562424701977
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
Language: Russian
Citation: V. O. Manturov, I. M. Nikonov, “On an invariant of pure braids”, Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024), 79–82; Dokl. Math., 109:2 (2024), 164–166
Citation in format AMSBIB
\Bibitem{ManNik24}
\by V.~O.~Manturov, I.~M.~Nikonov
\paper On an invariant of pure braids
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 516
\pages 79--82
\mathnet{http://mi.mathnet.ru/danma516}
\crossref{https://doi.org/10.31857/S2686954324020129}
\elib{https://elibrary.ru/item.asp?id=68623168}
\transl
\jour Dokl. Math.
\yr 2024
\vol 109
\issue 2
\pages 164--166
\crossref{https://doi.org/10.1134/S1064562424701977}
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