Distance and intersection number in the curve graph of a surface

DOI10.1007/s10711-021-00644-9OpenAlexW3203035427MaRDI QIDQ2665226

Matthew J. Morse, Nancy C. Wrinkle, Joan S. Birman

Publication date: 18 November 2021

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07385

zbMATH Keywords

geodesicscellular decompositioncurve graph

Mathematics Subject Classification ID

Geometric group theory (20F65) Geodesics in global differential geometry (53C22) General geometric structures on low-dimensional manifolds (57M50) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Uses Software

• MICC

Cites Work

• Efficient geodesics and an effective algorithm for distance in the complex of curves
• MICC: a tool for computing short distances in the curve complex
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• A note on acylindrical hyperbolicity of mapping class groups
• The curve complex has dead ends
• Small intersection numbers in the curve graph
• Uniform hyperbolicity of the graphs of nonseparating curves via bicorn curves
• 3-manifolds as viewed from the curve complex

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