The groups Gnk and fundamental groups of configuration spaces

DOI10.1142/S0218216517420044zbMath1367.57005arXiv1612.04102OpenAlexW2963060824MaRDI QIDQ5268382

Vassily O. Manturov

Publication date: 20 June 2017

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

Full work available at URL: https://arxiv.org/abs/1612.04102

zbMATH Keywords

configuration spacefundamental groupgroupbraid\(G_n^k\)

Mathematics Subject Classification ID

Related Items (8)

Invariants of classical braids valued in \(G_n^2 \) ⋮ Gröbner-Shirshov basis and Hochschild cohomology of the group \(\Gamma^4_5\) ⋮ Word and conjugacy problems in groups \(G_{k+1}^{k}\) ⋮ Anick complex, Hochschild cohomology, Hilbert and Poincare series of the Manturov (3,4)-group ⋮ On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants ⋮ On generalized configuration space and its homotopy groups ⋮ Artin’s braids, braids for three space, and groups Γn4 and Gnk ⋮ Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups $$\Gamma _{n}^{k}$$

Cites Work

• Unnamed Item
• Invariants of classical braids valued in \(G_n^2 \)
• Braided monoidal 2-categories and Manin-Schechtman higher braid groups
• On braids and groups Gnk
• The virtual and universal braids
• The groups $ G_n^2$ and Coxeter groups

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