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// 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. Manturov
ab
,
I. M. Nikonov
abc
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
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025