Alternating maps on Hatcher–Thurston graphs

DOI10.1142/S021821651750064XzbMath1481.57033arXiv1611.09986MaRDI QIDQ4596274

Jesús Hernández Hernández

Publication date: 1 December 2017

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

Full work available at URL: https://arxiv.org/abs/1611.09986

zbMATH Keywords

mapping class groupalternating mapscut systems

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 (3)

Edge Preserving Maps of the Curve Graphs in Low Genus ⋮ 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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• Edge-preserving maps of curve graphs
• Simplicial embeddings between pants graphs
• Complexes of nonseparating curves and mapping class groups
• Automorphisms of the Hatcher-Thurston complex
• Combinatorial rigidity in curve complexes and mapping class groups
• A presentation for the mapping class group of a closed orientable surface
• Automorphisms of the pants complex
• An elementary approach to the mapping class group of a surface

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