On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants

DOI10.1142/S1664360721500041zbMath1489.57004arXiv1905.08049OpenAlexW3129438977MaRDI QIDQ5163943

Seongjeong Kim, D. A. Fedoseev, I. M. Nikonov, Vassily O. Manturov

Publication date: 9 November 2021

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08049

zbMATH Keywords

diagrammanifoldCoxeter groupsknotdynamical systeminvariantplanaritygroupbraidGale diagramdiamond lemmaregular triangulationsregular triangulationPachner movesmall cancellationgroup \(\Gamma_n^k\)group \(G_n^k\)Kirillov-Fomin algebramanifold of triangulations

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Triangulating manifolds (57Q15) Representation theory of groups (20C99) Low-dimensional dynamical systems (37E99) Knot theory (57K10)

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