Systoles and topological Morse functions for Riemann surfaces.

DOI10.4310/jdg/1214425347zbMath1033.32010OpenAlexW1581372407WikidataQ115193697 ScholiaQ115193697MaRDI QIDQ1609741

Paul Schmutz Schaller

Publication date: 15 August 2002

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214425347

zbMATH Keywords

Teichmueller spacemapping class groupsystoleRiemann surface of genus \(g\) with \(n\) cuspsshortest simple closed geodesictopological Morse functions

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) General geometric structures on low-dimensional manifolds (57M50) Teichmüller theory for Riemann surfaces (30F60)

Related Items (13)

Local maxima of the systole function ⋮ Investigating the cohomological dimensions of ℳg ⋮ An effective process of determination of systoles for hyperbolic surfaces ⋮ Hyperbolic punctured spheres without arithmetic systole maximizers ⋮ The homology systole of hyperbolic Riemann surfaces ⋮ Hyperbolic surfaces with sublinearly many systoles that fill ⋮ Graphs of systoles on hyperbolic surfaces ⋮ EMBEDDING OF METRIC GRAPHS ON HYPERBOLIC SURFACES ⋮ Uniform perfectness of the limit sets of Kleinian groups ⋮ Filling of closed surfaces ⋮ Extremal properties of the determinant of the Laplacian in the Bergman metric on the moduli space of genus two Riemann surfaces ⋮ Second variation of Selberg zeta functions and curvature asymptotics ⋮ Minimally intersecting filling pairs on surfaces

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