The homology systole of hyperbolic Riemann surfaces

DOI10.1007/s10711-011-9613-0zbMath1246.53060arXiv1010.0358OpenAlexW2142361655MaRDI QIDQ2429495

Hugo Parlier

Publication date: 27 April 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0358

zbMATH Keywords

Riemann surfacessystolehomological systole

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Geodesics in global differential geometry (53C22)

Related Items (7)

Construction of hyperbolic Riemann surfaces with large systoles ⋮ Relative systoles of relative-essential 2-complexes ⋮ Hyperellipticity and systoles of Klein surfaces ⋮ Systoles and Dehn surgery for hyperbolic 3-manifolds ⋮ Short separating geodesics for multiply connected domains ⋮ Hurwitz quaternion order and arithmetic Riemann surfaces ⋮ Minimally intersecting filling pairs on surfaces

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• A Remark on Mahler's Compactness Theorem
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