Ideally, all infinite‐type surfaces can be triangulated

DOI10.1112/blms.12677zbMath1530.57014arXiv2102.09531OpenAlexW3129975187MaRDI QIDQ6048894

Hugo Parlier, Alan McLeay

Publication date: 15 September 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.09531

zbMATH Keywords

ideal triangulationsinfinite type surfaces

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Teichmüller theory for Riemann surfaces (30F60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (3)

Quasisymmetric maps, shears, lambda lengths and flips ⋮ Big flip graphs and their automorphism groups ⋮ Flip graphs for infinite type surfaces

Cites Work

• Hyperbolicity of the ray graph and quasimorphism on a big modular group
• On the ideal triangulation graph of a punctured surface
• The decorated Teichmüller space of punctured surfaces
• Homeomorphic subsurfaces and the omnipresent arcs
• Flip graphs for infinite type surfaces
• On Fenchel-Nielsen coordinates on Teichmüller spaces of surfaces of infinite type
• Geodesically Complete Hyperbolic Structures
• Hyperbolic Structures for Surfaces of Infinite Type
• Graphs of curves on infinite-type surfaces with mapping class group actions
• Fenchel–Nielsen coordinates on upper bounded pants decompositions
• On the Classification of Noncompact Surfaces

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