Cylinder curves in finite holonomy flat metrics

DOI10.1142/s1793525321500308zbMath1523.57028arXiv1909.13760OpenAlexW3135263767MaRDI QIDQ6040785

Ser-Wei Fu, Christopher J. Leininger

Publication date: 22 May 2023

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

Full work available at URL: https://arxiv.org/abs/1909.13760

zbMATH Keywords

curvessurfacesflat metricscylinder curvesfinite holonomy metrics

Mathematics Subject Classification ID

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 (1)

Large-scale geometry of the saddle connection graph

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Horowitz-Randol pairs of curves in \(q\)-differential metrics
• Length spectra and degeneration of flat metrics
• Covers and the curve complex
• Foliations and laminations on hyperbolic surfaces
• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• Fibered faces, veering triangulations, and the arc complex
• Geometry of the complex of curves. I: Hyperbolicity
• Closed trajectories for quadratic differentials with an application to billiards
• Length spectra of flat metrics coming from \(q\)-differentials
• The boundary at infinity of the curve complex and the relative Teichmüller space
• Infinite unicorn paths and Gromov boundaries
• Translation surfaces and the curve graph in genus two
• Thurston's Work on Surfaces (MN-48)
• Intersection numbers and the hyperbolicity of the curve complex
• On the geometry and dynamics of diffeomorphisms of surfaces
• On the existence and uniqueness of Strebel differentials
• Periodic billiard orbits are dense in rational polygons
• Shadows of Teichmüller Discs in the Curve Graph
• Large-scale geometry of the saddle connection graph

This page was built for publication: Cylinder curves in finite holonomy flat metrics