The shortest non-simple closed geodesics on hyperbolic surfaces

DOI10.1007/s00209-023-03401-8arXiv2210.12966MaRDI QIDQ6139843

Ara Basmajian, Hugo Parlier, Hanh Nguyen Vo

Publication date: 19 December 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.12966

zbMATH Keywords

moduli spacesclosed curveshyperbolic surfaces

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• Short closed geodesics with self-intersections
• Self-Intersection Numbers of Length-Equivalent Curves on Surfaces
• Universal length bounds for non-simple closed geodesics on hyperbolic surfaces
• Geometry and spectra of compact Riemann surfaces

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