Counting mapping class group orbits under shearing coordinates

DOI10.1007/s10711-022-00674-xzbMath1486.30122arXiv2103.10715OpenAlexW3137316847MaRDI QIDQ2114362

Sicheng Lu, WeiXu Su

Publication date: 15 March 2022

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

Full work available at URL: https://arxiv.org/abs/2103.10715

zbMATH Keywords

Teichmüller spacemapping class grouphyperbolic surfacesWeil-Petersson volume

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• The Fenchel-Nielsen deformation
• The Weil-Petersson and Thurston symplectic forms
• Equidistribution of families of expanding horospheres on moduli spaces of hyperbolic surfaces
• Growth of the number of simple closed geodesics on hyperbolic surfaces
• Ergodic Theory of the Earthquake Flow
• The Weil-Petersson Symplectic Structure at Thurston's Boundary
• Shearing coordinates and convexity of length functions on Teichmüller space
• Geometry and spectra of compact Riemann surfaces

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