The boundary at infinity of the curve complex and the relative Teichmüller space

DOI10.4171/GGD/662WikidataQ113692017 ScholiaQ113692017MaRDI QIDQ2102165

Erica Klarreich

Publication date: 28 November 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10339

zbMATH Keywords

measured foliationboundary at infinitycurve complexrelative Teichmüller space

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) Hyperbolic groups and nonpositively curved groups (20F67) Teichmüller theory for Riemann surfaces (30F60)

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Typical properties of periodic Teichmüller geodesics: Lyapunov exponents ⋮ Bounded cohomology of finitely generated Kleinian groups ⋮ Curve Complexes Versus Tits Buildings: Structures and Applications ⋮ Cylinder curves in finite holonomy flat metrics ⋮ Masur's criterion does not hold in the Thurston metric ⋮ The grand arc graph ⋮ Characterizing covers via simple closed curves ⋮ Random walks on mapping class groups ⋮ Connectivity of the Gromov boundary of the free factor complex ⋮ The Farrell-Jones conjecture for mapping class groups ⋮ Local topology in deformation spaces of hyperbolic 3-manifolds. II. ⋮ Exotic limit sets of Teichmüller geodesics in the HHS boundary

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