Growth of the Weil-Petersson diameter of moduli space

DOI10.1215/00127094-1507312zbMath1244.32008arXiv1004.3029OpenAlexW2963446393MaRDI QIDQ662421

Hugo Parlier, William Cavendish

Publication date: 22 February 2012

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3029

zbMATH Keywords

Teichmüller spacemoduli spaceWeil-Petersson metric

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60)

Related Items (12)

Local maxima of the systole function ⋮ Simultaneous flips on triangulated surfaces ⋮ A new uniform lower bound on Weil-Petersson distance ⋮ Small eigenvalues of closed Riemann surfaces for large genus ⋮ The diameter of the thick part of moduli space and simultaneous Whitehead moves ⋮ The vanishing rate of Weil-Petersson sectional curvatures ⋮ On the volume of anti-de Sitter maximal globally hyperbolic three-manifolds ⋮ Growth of the Weil-Petersson inradius of moduli space ⋮ Large genus bounds for the distribution of triangulated surfaces in moduli space ⋮ Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space ⋮ Lengths of closed geodesics on random surfaces of large genus ⋮ The geometry of flip graphs and mapping class groups

Cites Work

• Growth of Weil-Petersson volumes and random hyperbolic surface of large genus
• Short loop decompositions of surfaces and the geometry of Jacobians
• Behavior of geodesic-length functions on Teichmüller space
• On the homology of the moduli space of stable curves
• A presentation for the mapping class group of a closed orientable surface
• Degenerating families of Riemann surfaces
• The extension of the Weil-Petersson metric to the boundary of Teichmüller space
• Platonic surfaces
• On the geometry of Weil-Petersson completion of Teichmüller spaces
• Random construction of Riemann surfaces
• Diastolic and isoperimetric inequalities on surfaces
• BERS' CONSTANTS FOR PUNCTURED SPHERES AND HYPERELLIPTIC SURFACES
• Numbers of cubic graphs
• Weil–Petersson isometries via the pants complex
• Weil-Petersson volumes and intersection theory on the moduli space of curves
• The Weil–Petersson geometry of the moduli space of Riemann surfaces
• A note on the isoperimetric constant
• Short Encodings of Evolving Structures
• The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores
• Geometry and spectra of compact Riemann surfaces
• An explicit upper bound for Weil-Petersson volumes of the moduli spaces of punctured Riemann surfaces
• Estimates of Weil-Petersson volumes via effective divisors
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