FINITE RIGID SETS IN CURVE COMPLEXES

DOI10.1142/S1793525313500076zbMath1277.57017arXiv1206.3114OpenAlexW2158514234MaRDI QIDQ5300675

Christopher J. Leininger, Javier Aramayona

Publication date: 27 June 2013

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3114

zbMATH Keywords

mapping class groupsurfacescurve complex

Mathematics Subject Classification ID

Geometric group theory (20F65) General low-dimensional topology (57M99) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

Finite rigid sets and the separating curve complex ⋮ EXHAUSTION OF THE CURVE GRAPH VIA RIGID EXPANSIONS ⋮ Finite rigid sets in arc complexes ⋮ A remark on homomorphisms from right-angled Artin groups to mapping class groups ⋮ Finite rigid sets in curve complexes of nonorientable surfaces ⋮ COLORING CURVES ON SURFACES ⋮ Automorphisms of the \(k\)-curve graph ⋮ Finite rigid sets in sphere complexes ⋮ Exhausting pants graphs of punctured spheres by finite rigid sets ⋮ Superinjective simplicial maps of the two-sided curve complexes on nonorientable surfaces ⋮ Finite rigid subgraphs of the pants graphs of punctured spheres ⋮ Finite rigid subgraphs of pants graphs ⋮ Edge-preserving maps of curve graphs ⋮ A note on the curve complex of the 3-holed projective plane ⋮ Edge-preserving maps of the nonseparating curve graphs, curve graphs and rectangle preserving maps of the Hatcher–Thurston graphs ⋮ Large-scale rank and rigidity of the Teichmüller metric ⋮ Normal subgroups of mapping class groups and the metaconjecture of Ivanov ⋮ Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface ⋮ Exhausting curve complexes by finite superrigid sets on nonorientable surfaces

Cites Work

• Unnamed Item
• Combinatorial rigidity in curve complexes and mapping class groups
• The virtual cohomological dimension of the mapping class group of an orientable surface
• Automorphisms of complexes of curves on punctured spheres and on punctured tori
• Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups.
• Automorphisms of the complex of curves
• The associahedron and triangulations of the \(n\)-gon
• Curve complexes and finite index subgroups of mapping class groups

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