Document Type
Article
Publication Date
9-22-2025
Published In
Geometry & Topology
Abstract
For a closed and orientable surface S with genus at least 2, we prove that the π₁(S)-extensions of the stabilizers of multicurves on S are hierarchically hyperbolic groups. This answers a question of Durham, Dowdall, Leininger and Sisto. We also include an appendix that employs work of Charney, Cordes and Sisto to characterize the Morse boundaries of hierarchically hyperbolic groups whose largest acylindrical action on a hyperbolic space is on a quasitree.
Keywords
mapping class groups, geometric finiteness
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Jacob Russell.
(2025).
"Extensions Of Multicurve Stabilizers Are Hierarchically Hyperbolic".
Geometry & Topology.
Volume 29,
Issue 6.
3187-3240.
DOI: 10.2140/gt.2025.29.3187
https://works.swarthmore.edu/fac-math-stat/348