Brunnian braids on surfaces.
From MaRDI portal
Publication:441096
DOI10.2140/agt.2012.12.1607zbMath1270.20036arXiv0909.3387OpenAlexW2093474576WikidataQ116180360 ScholiaQ116180360MaRDI QIDQ441096
Roman Mikhailov, Vladimir V. Vershinin, Jie Wu, Valeriy G. Bardakov
Publication date: 20 August 2012
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.3387
pure braid groupsfinitely presented groupssymmetric commutator subgrouphomotopy groupsBrunnian braids
Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Homotopy groups of spheres (55Q40)
Related Items (6)
Homotopy groups as centres of finitely presented groups ⋮ Combinatorial group theory and the homotopy groups of finite complexes ⋮ On symmetric commutator subgroups, braids, links and homotopy groups ⋮ On Cohen braids. ⋮ Brunnian braids and Lie algebras. ⋮ Book Review: Braid groups (With the graphical assistance of Olivier Dodane); Ordering braids
Cites Work
- Unnamed Item
- Unnamed Item
- Symmetric ideals in group rings and simplicial homotopy.
- A colimit of classifying spaces
- Coproducts of crossed P-modules: applications to second homotopy groups and to the homology of groups
- Van Kampen theorems for diagrams of spaces
- Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
- The braid groups of the projective plane.
- On presentations of surface braid groups.
- The braid groups of \(E^ 2\) and \(S^ 2\)
- Combinatorial descriptions of homotopy groups of certain spaces
- Configurations, braids, and homotopy groups
- Artin braid groups and homotopy groups
- Decomposable Braids as Subgroups of Braid Groups
- Towards a characterization of smooth braids
- Decomposable Braids and Linkages
- On symmetric commutator subgroups, braids, links and homotopy groups
- Configuration Spaces.
- Braid Groups of Compact 2-Manifolds with Elements of Finite Order
- The Word Problem and Consequences for the Braid Groups and Mapping Class Groups of the 2-Sphere
This page was built for publication: Brunnian braids on surfaces.