BERS' CONSTANTS FOR PUNCTURED SPHERES AND HYPERELLIPTIC SURFACES

DOI10.1142/S179352531250015XzbMath1262.30046arXiv0911.5149OpenAlexW2962873075MaRDI QIDQ3165505

Hugo Parlier, Florent Balacheff

Publication date: 29 October 2012

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

Full work available at URL: https://arxiv.org/abs/0911.5149

zbMATH Keywords

Riemann surfacesTeichmüller spacessimple closed geodesicsBers constants

Mathematics Subject Classification ID

Ideal boundary theory for Riemann surfaces (30F25) Teichmüller theory for Riemann surfaces (30F60)

Related Items (7)

The diameter of the thick part of moduli space and simultaneous Whitehead moves ⋮ Short loop decompositions of surfaces and the geometry of Jacobians ⋮ A shorter note on shorter pants ⋮ Pants decompositions of random surfaces ⋮ Growth of the Weil-Petersson diameter of moduli space ⋮ Short closed geodesics with self-intersections ⋮ Minimally intersecting filling pairs on surfaces

Cites Work

• Short loop decompositions of surfaces and the geometry of Jacobians
• The Bers's constant in genus two
• Über den ersten Eigenwert des Laplace-Operators auf ausgewählten Beispielen kompakter Riemannscher Flächen
• Symmetric pants decompositions of Riemann surfaces
• Platonic surfaces
• Riemann surfaces with shortest geodesic of maximal length
• Geometry of the complex of curves. II: Hierarchical structure
• Topological singularities of generalized systoles
• Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups
• Collars and partitions of hyperbolic cone-surfaces
• Diastolic and isoperimetric inequalities on surfaces
• Geometry of Riemann surfaces based on closed geodesics
• The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
• The Nielsen realization problem
• Geometry and spectra of compact Riemann surfaces

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