Convex cocompactness and stability in mapping class groups
dc.creator | Durham, MG | |
dc.creator | Taylor, SJ | |
dc.date.accessioned | 2021-02-03T17:06:28Z | |
dc.date.available | 2021-02-03T17:06:28Z | |
dc.date.issued | 2015-11-12 | |
dc.identifier.issn | 1472-2747 | |
dc.identifier.issn | 1472-2739 | |
dc.identifier.doi | http://dx.doi.org/10.34944/dspace/5745 | |
dc.identifier.other | CX5VI (isidoc) | |
dc.identifier.uri | http://hdl.handle.net/20.500.12613/5763 | |
dc.description.abstract | © 2015, Mathematical Sciences Publishers. All rights reserved. We introduce a strong notion of quasiconvexity in finitely generated groups, which we call stability. Stability agrees with quasiconvexity in hyperbolic groups and is preserved under quasi-isometry for finitely generated groups. We show that the stable subgroups of mapping class groups are precisely the convex cocompact subgroups. This generalizes a well-known result of Behrstock and is related to questions asked by Farb and Mosher and by Farb. | |
dc.format.extent | 2839-2859 | |
dc.language.iso | en | |
dc.relation.haspart | Algebraic and Geometric Topology | |
dc.relation.isreferencedby | Mathematical Sciences Publishers | |
dc.subject | math.GT | |
dc.subject | math.GT | |
dc.subject | math.GR | |
dc.title | Convex cocompactness and stability in mapping class groups | |
dc.type | Article | |
dc.type.genre | Journal Article | |
dc.relation.doi | 10.2140/agt.2015.15.2839 | |
dc.ada.note | For Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu | |
dc.date.updated | 2021-02-03T17:06:25Z | |
refterms.dateFOA | 2021-02-03T17:06:29Z |