Artin’s braids, braids for three space, and groups Γn4 and Gnk

DOI10.1142/S0218216519500639zbMath1431.57005arXiv1902.11238OpenAlexW2952001655MaRDI QIDQ5235150

Seongjeong Kim, Vassily O. Manturov

Publication date: 7 October 2019

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.11238

zbMATH Keywords

configuration spacePachner movepure braid grouprepresentation of pure braid groupstriangulation of 3-dimensional spaces

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Knot theory (57K10)

Related Items (5)

Gröbner-Shirshov basis and Hochschild cohomology of the group \(\Gamma^4_5\) ⋮ The photography method: Solving pentagon equation ⋮ Word and conjugacy problems in groups \(G_{k+1}^{k}\) ⋮ Studying complex manifolds by using groups Gnk and Γnk ⋮ Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups $$\Gamma _{n}^{k}$$

Cites Work

• Braids, complex volume and cluster algebras
• Geometry of the space of triangulations of a compact manifold
• On braids and groups Gnk
• On a Yang-Baxter map and the Dehornoy ordering
• The groups Gnk and fundamental groups of configuration spaces

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