On the dimension of CAT(0) spaces where mapping class groups act

DOI10.1515/CRELLE.2011.172zbMath1270.20046arXiv0908.0690OpenAlexW2963574862MaRDI QIDQ4899181

Martin R. Bridson

Publication date: 7 January 2013

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0690

zbMATH Keywords

fixed pointsCAT(0) spacesmapping class groupsactionsisometries

Mathematics Subject Classification ID

Geometric group theory (20F65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Fixed points and coincidences in algebraic topology (55M20) Teichmüller theory for Riemann surfaces (30F60)

Related Items (11)

Representations of groups with CAT(0) fixed point property ⋮ Random walks on weakly hyperbolic groups ⋮ Right-angled Artin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups ⋮ Low-dimensional representations of matrix groups and group actions on \(\mathrm{CAT}(0)\) spaces and manifolds. ⋮ Low‐dimensional linear representations of mapping class groups ⋮ Semi-simple actions of the Higman-Thompson groups \(T_n\) on finite-dimensional CAT(0) spaces ⋮ The geometry of the handlebody groups. II: Dehn functions ⋮ The automorphism group of the universal Coxeter group ⋮ Two questions on mapping class groups ⋮ Triviality of some representations of 𝑀𝐶𝐺(𝑆_{𝑔}) in 𝐺𝐿(𝑛,ℂ),𝔻𝕚𝕗𝕗(𝕊²) and ℍ𝕠𝕞𝕖𝕠(𝕋²) ⋮ On groups whose actions on finite-dimensional CAT(0) spaces have global fixed points

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