Cubical geometry in the polygonalisation complex

DOI10.1017/S0305004118000130zbMath1422.57043arXiv1612.04466MaRDI QIDQ5225806

Valentina Disarlo, Mark C. Bell, Robert L. Tang

Publication date: 29 July 2019

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.04466

zbMATH Keywords

cube complexmapping class group of a surfaceflip grapharc graph of a surfacepolygonalisation of a surface

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items (3)

Finite rigid sets in arc complexes ⋮ Rigidity of the saddle connection complex ⋮ Finite rigid sets in flip graphs

Uses Software

• fatter

Cites Work

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• Decorated Teichmüller theory
• On the ideal triangulation graph of a punctured surface
• The virtual cohomological dimension of the mapping class group of an orientable surface
• Ribbon graphs and their invariants derived from quantum groups
• Actions of discrete groups on nonpositively curved spaces
• 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
• The geometry of the disk complex
• The geometry of flip graphs and mapping class groups
• Injective maps between flip graphs
• Mapping class groups are automatic

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