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Nonexistence of boundary maps for some hierarchically hyperbolic spaces

Sarah C Mousley
Algebraic & Geometric Topology 18 (2018) 409–439
DOI: 10.2140/agt.2018.18.409
Abstract

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.

Keywords
right-angled Artin group, mapping class group, hierarchically hyperbolic, boundary map
Mathematical Subject Classification 2010
Primary: 57M07
Secondary: 20F36, 20F65
References
Publication
Received: 17 November 2016
Revised: 17 July 2017
Accepted: 8 August 2017
Published: 10 January 2018
Authors
Sarah C Mousley
Department of Mathematics
University of Illinois at Urbana-Champaign
Urbana, IL
United States
http://www.math.uiuc.edu/~mousley2/