Simple geodesics on a punctured surface

DOI10.1016/J.TOPOL.2006.04.007zbMath1112.37026arXivmath/0506583OpenAlexW2095496955MaRDI QIDQ857045

Chaim Goodman-Strauss, Yo'av Rieck

Publication date: 14 December 2006

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506583

zbMATH Keywords

hyperbolic surfacesMcShane's identity

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Geodesics in global differential geometry (53C22) General geometric structures on low-dimensional manifolds (57M50) Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

McShane's identity, using elliptic elements

Cites Work

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• Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
• McShane's identity for classical Schottky groups
• Geodesics with bounded intersection number on surfaces are sparsely distributed
• Simple geodesics and a series constant over Teichmüller space
• Growth of the number of simple closed geodesics on hyperbolic surfaces
• Generalized Markoff maps and McShane's identity
• Generalizations of McShane's identity to hyperbolic cone-surfaces
• Necessary and sufficient conditions for McShane's identity and variations
• A variation of McShane's identity for once-punctured torus bundles
• Markoff triples and quasifuchsian groups
• WEIERSTRASS POINTS AND SIMPLE GEODESICS
• A Proof of McShane's Identity Via Markoff Triples

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