Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups $$\Gamma _{n}^{k}$$

DOI10.1007/978-3-030-76798-3_2zbMath1489.57018arXiv1912.02695OpenAlexW2992375325MaRDI QIDQ5020219

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

Publication date: 5 January 2022

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.02695

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Triangulating manifolds (57Q15) Geodesics in global differential geometry (53C22) Polytopes and polyhedra (52B99) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra (13-01) Knot theory (57K10)

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Cites Work

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• P.l. homeomorphic manifolds are equivalent by elementary shellings
• An obstruction to Delaunay triangulations in Riemannian manifolds
• Link groups
• On braids and groups Gnk
• Convex Polytopes
• Artin’s braids, braids for three space, and groups Γn4 and Gnk
• The groups Gnk and fundamental groups of configuration spaces
• Fundamental group and contractible closed geodesics
• Homotopy Associativity of H-Spaces. I
• Algorithmic topology and classification of 3-manifolds

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