Nonexistence of boundary maps for some hierarchically hyperbolic spaces
Algebraic and Geometric Topology, Tome 18 (2018) no. 1, pp. 409-439

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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.

DOI : 10.2140/agt.2018.18.409
Classification : 57M07, 20F36, 20F65
Keywords: right-angled Artin group, mapping class group, hierarchically hyperbolic, boundary map

Mousley, Sarah 1

1 Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL, United States
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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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