Loxodromic elements in big mapping class groups via the Hooper-Thurston-Veech construction

DOI10.2140/agt.2022.22.3809OpenAlexW3007997456MaRDI QIDQ2696154

Ferrán Valdez, Israel Morales

Publication date: 6 April 2023

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00102

zbMATH Keywords

pseudo-Anosovbig mapping class groupsloxodromic actions

Mathematics Subject Classification ID

Geometric group theory (20F65) Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (3)

Two simultaneous actions of big mapping class groups ⋮ The grand arc graph ⋮ Big Mapping Class Groups: An Overview

Cites Work

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• Hyperbolicity of the ray graph and quasimorphism on a big modular group
• Wild singularities of flat surfaces
• The end point compactification of manifolds
• Constructing group actions on quasi-trees and applications to mapping class groups
• Foliations and laminations on hyperbolic surfaces
• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• Wild translation surfaces and infinite genus
• Bounded cohomology of subgroups of mapping class groups
• WWPD elements of big mapping class groups
• The invariant measures of some infinite interval exchange maps
• On the geometry and dynamics of diffeomorphisms of surfaces
• The Gromov boundary of the ray graph
• Graphs of curves on infinite-type surfaces with mapping class group actions
• On the Classification of Noncompact Surfaces

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