EXHAUSTION OF THE CURVE GRAPH VIA RIGID EXPANSIONS

DOI10.1017/S0017089518000174zbMath1481.57035arXiv1611.08010OpenAlexW2963636431MaRDI QIDQ4559615

Jesús Hernández Hernández

Publication date: 4 December 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.08010

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (5)

Finite rigid sets in curve complexes of nonorientable surfaces ⋮ Finite rigid sets in sphere complexes ⋮ Finite rigid subgraphs of pants graphs ⋮ Edge-preserving maps of curve graphs ⋮ Edge-preserving maps of the nonseparating curve graphs, curve graphs and rectangle preserving maps of the Hatcher–Thurston graphs

Cites Work

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• Exhausting curve complexes by finite rigid sets
• Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups. II
• Complexes of nonseparating curves and mapping class groups
• 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
• Curve complexes and finite index subgroups of mapping class groups
• FINITE RIGID SETS IN CURVE COMPLEXES
• Finite rigid sets and homologically nontrivial spheres in the curve complex of a surface

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