Nonexistence of boundary maps for some hierarchically hyperbolic spaces
Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 409-439
Voir la notice de l'article provenant de la source Mathematical Sciences Publishers
We provide negative answers to questions posed by Durham, Hagen and Sisto on the existence of boundary maps for some hierarchically hyperbolic spaces, namely maps from right-angled Artin groups to mapping class groups. We also prove results on existence of boundary maps for free subgroups of mapping class groups.
Classification :
57M07, 20F36, 20F65
Keywords: right-angled Artin group, mapping class group, hierarchically hyperbolic, boundary map
Keywords: right-angled Artin group, mapping class group, hierarchically hyperbolic, boundary map
Affiliations des auteurs :
Mousley, Sarah 1
@article{10_2140_agt_2018_18_409,
author = {Mousley, Sarah},
title = {Nonexistence of boundary maps for some hierarchically hyperbolic spaces},
journal = {Algebraic and Geometric Topology},
pages = {409--439},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {2018},
doi = {10.2140/agt.2018.18.409},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2018.18.409/}
}
TY - JOUR AU - Mousley, Sarah TI - Nonexistence of boundary maps for some hierarchically hyperbolic spaces JO - Algebraic and Geometric Topology PY - 2018 SP - 409 EP - 439 VL - 18 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2018.18.409/ DO - 10.2140/agt.2018.18.409 ID - 10_2140_agt_2018_18_409 ER -
%0 Journal Article %A Mousley, Sarah %T Nonexistence of boundary maps for some hierarchically hyperbolic spaces %J Algebraic and Geometric Topology %D 2018 %P 409-439 %V 18 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2018.18.409/ %R 10.2140/agt.2018.18.409 %F 10_2140_agt_2018_18_409
Mousley, Sarah. Nonexistence of boundary maps for some hierarchically hyperbolic spaces. Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 409-439. doi: 10.2140/agt.2018.18.409
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