Packing Curves on Surfaces with Few Intersections

DOI10.1093/imrn/rnx270zbMath1458.57017arXiv1610.06514OpenAlexW2963578051MaRDI QIDQ5855188

Tarik Aougab, Jonah Gaster, Ian Biringer

Publication date: 15 March 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06514

Mathematics Subject Classification ID

Hyperbolic 3-manifolds (57K32)

Related Items (7)

Curves on the torus intersecting at most k times ⋮ 2-systems of arcs on spheres with prescribed endpoints ⋮ Kissing numbers of closed hyperbolic manifolds ⋮ Algebraic \(k\)-systems of curves ⋮ Systolically extremal nonpositively curved surfaces are flat with finitely many singularities ⋮ Arcs on punctured disks intersecting at most twice with endpoints on the boundary ⋮ Arcs on spheres intersecting at most twice

Cites Work

• Systems of curves on surfaces
• Arcs intersecting at most once
• Growth of the number of simple closed geodesics on hyperbolic surfaces
• Topological designs
• Local geometry of the 𝑘-curve graph
• Discontinuous Groups and Riemann Surfaces (AM-79)
• Geometry and spectra of compact Riemann surfaces

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