The horofunction compactification of Teichmüller spaces of surfaces with boundary

DOI10.1016/j.topol.2016.05.011zbMath1343.32008OpenAlexW2399844018MaRDI QIDQ290631

Athanase Papadopoulos, Daniele Alessandrini, Lixin Liu, WeiXu Su

Publication date: 3 June 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2016.05.011

zbMATH Keywords

arc metrichorofunctionThurston's asymmetric metricThurston's compactification

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Teichmüller theory for Riemann surfaces (30F60) Differentials on Riemann surfaces (30F30)

Related Items

Toy Teichmüller spaces of real dimension 2: the pentagon and the punctured triangle, On metrics defined by length spectra on Teichmüller spaces of surfaces with boundary, Characterizing the metric compactification of \(L_p\) spaces by random measures, The horofunction boundary of a Gromov hyperbolic space, The arc metric on Teichmüller spaces of surfaces of infinite type with boundary, Optimal Lipschitz maps on one-holed tori and the Thurston metric theory of Teichmüller space, Meromorphic quadratic differentials with complex residues and spiralling foliations, Hamiltonian properties of earthquake flows on surfaces with closed geodesic boundary, Rational embeddings of hyperbolic groups, Deforming hyperbolic hexagons with applications to the arc and the Thurston metrics on Teichmüller spaces, Thurston's metric on Teichmüller space and the translation distances of mapping classes, Meromorphic projective structures, grafting and the monodromy map, Quadratic differentials, measured foliations, and metric graphs on punctured surfaces, Almost-isometry between the Teichmüller metric and the length-spectrum metric on reduced moduli space for surfaces with boundary

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