Short loop decompositions of surfaces and the geometry of Jacobians

DOI10.1007/s00039-012-0147-xzbMath1254.30057arXiv1011.2962OpenAlexW2067378134MaRDI QIDQ412046

Hugo Parlier, Florent Balacheff, Stéphane Sabourau

Publication date: 3 May 2012

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2962

zbMATH Keywords

Riemann surfacespants decvompositionshort homology basissimple closed geodesics

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Period matrices, variation of Hodge structure; degenerations (32G20) Geodesics in global differential geometry (53C22)

Related Items (17)

BERS' CONSTANTS FOR PUNCTURED SPHERES AND HYPERELLIPTIC SURFACES ⋮ Sharp upper bounds on the length of the shortest closed geodesic on complete punctured spheres of finite area ⋮ Curve graphs on surfaces of infinite type ⋮ Topological recursion for Masur–Veech volumes ⋮ Large genus bounds for the distribution of triangulated surfaces in moduli space ⋮ A shorter note on shorter pants ⋮ Hyperellipticity and systoles of Klein surfaces ⋮ EMBEDDING OF METRIC GRAPHS ON HYPERBOLIC SURFACES ⋮ Nonlinear descent on moduli of local systems ⋮ Short homotopically independent loops on surfaces ⋮ Pants decompositions of random surfaces ⋮ Growth of the Weil-Petersson diameter of moduli space ⋮ Ideal triangulation and minimal shearing of punctured hyperbolic surfaces ⋮ Systolic geometry and simplicial complexity for groups ⋮ The minimal length product over homology bases of manifolds ⋮ Growth of balls in the universal cover of surfaces and graphs ⋮ Discrete systolic inequalities and decompositions of triangulated surfaces

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