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

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

Recently, the first named author defined a 2-parametric family of groups Gnk [V. O. Manturov, Non–reidemeister knot theory and its applications in dynamical systems, geometry and topology, preprint (2015), arXiv:1501.05208]. Those groups may be regarded as analogues of braid groups. Study of the con...

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Bibliographic Details
Main Authors: Vassily O. Manturov, Denis A. Fedoseev, Seongjeong Kim, Igor M. Nikonov
Format: Article
Language:English
Published: World Scientific Publishing 2021-08-01
Series:Bulletin of Mathematical Sciences
Subjects:
knot
group
diagram
invariant
manifold
braid
regular triangulation
pachner move
gnk group
dynamical system
γnk group
manifold of triangulations
coxeter groups
kirillov–fomin algebra
small cancellation
planarity
diamond lemma
gale diagram
regular triangulations
Online Access:http://www.worldscientific.com/doi/epdf/10.1142/S1664360721500041

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http://www.worldscientific.com/doi/epdf/10.1142/S1664360721500041

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