Voir la notice de l'article provenant de la source Numdam
A quasi-tree is a geodesic metric space quasi-isometric to a tree. We give a general construction of many actions of groups on quasi-trees. The groups we can handle include non-elementary (relatively) hyperbolic groups, CAT(0) groups with rank 1 elements, mapping class groups and Out(Fn). As an application, we show that mapping class groups act on finite products of δ-hyperbolic spaces so that orbit maps are quasi-isometric embeddings. We prove that mapping class groups have finite asymptotic dimension.
Bestvina, Mladen 1 ; Bromberg, Ken 1 ; Fujiwara, Koji 2
@article{PMIHES_2015__122__1_0,
author = {Bestvina, Mladen and Bromberg, Ken and Fujiwara, Koji},
title = {Constructing group actions on quasi-trees and applications to mapping class groups},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {1--64},
publisher = {Springer Berlin Heidelberg},
address = {Berlin/Heidelberg},
volume = {122},
year = {2015},
doi = {10.1007/s10240-014-0067-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-014-0067-4/}
}
TY - JOUR AU - Bestvina, Mladen AU - Bromberg, Ken AU - Fujiwara, Koji TI - Constructing group actions on quasi-trees and applications to mapping class groups JO - Publications Mathématiques de l'IHÉS PY - 2015 SP - 1 EP - 64 VL - 122 PB - Springer Berlin Heidelberg PP - Berlin/Heidelberg UR - http://geodesic.mathdoc.fr/articles/10.1007/s10240-014-0067-4/ DO - 10.1007/s10240-014-0067-4 LA - en ID - PMIHES_2015__122__1_0 ER -
%0 Journal Article %A Bestvina, Mladen %A Bromberg, Ken %A Fujiwara, Koji %T Constructing group actions on quasi-trees and applications to mapping class groups %J Publications Mathématiques de l'IHÉS %D 2015 %P 1-64 %V 122 %I Springer Berlin Heidelberg %C Berlin/Heidelberg %U http://geodesic.mathdoc.fr/articles/10.1007/s10240-014-0067-4/ %R 10.1007/s10240-014-0067-4 %G en %F PMIHES_2015__122__1_0
Bestvina, Mladen; Bromberg, Ken; Fujiwara, Koji. Constructing group actions on quasi-trees and applications to mapping class groups. Publications Mathématiques de l'IHÉS, Tome 122 (2015), pp. 1-64. doi: 10.1007/s10240-014-0067-4
Cité par Sources :