Products of Farey graphs are totally geodesic in the pants graph

DOI10.1142/S1793525316500096zbMath1345.57005arXiv1307.7268MaRDI QIDQ2799113

Samuel J. Taylor, Alexander Zupan

Publication date: 8 April 2016

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7268

zbMATH Keywords

totally geodesicmapping class groupFarey graphpant graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items (2)

Geometric simplicial embeddings of arc-type graphs ⋮ The geometry of flip graphs and mapping class groups

Cites Work

• Unnamed Item
• Asymptotics of Weil-Petersson geodesics. II: Bounded geometry and unbounded entropy
• Heegaard splittings and the pants complex
• Totally geodesic subgraphs of the pants complex
• The extension of the Weil-Petersson metric to the boundary of Teichmüller space
• Automorphisms of the pants complex
• Geometry of the complex of curves. II: Hierarchical structure
• Weil-Petersson translation distance and volumes of mapping tori
• Dimension and rank for mapping class groups
• Convexity of strata in diagonal pants graphs of surfaces
• Constructing convex planes in the pants complex
• Curvature and rank of Teichmuller space
• Weil–Petersson isometries via the pants complex
• The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
• Bridge and pants complexities of knots

This page was built for publication: Products of Farey graphs are totally geodesic in the pants graph