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Amalgam Anosov
representations
Richard D Canary, Michelle Lee and Matthew StoverAppendix: Richard D Canary, Michelle Lee, Andrés Sambarino and Matthew Stover |
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Geometry & Topology 21 (2017) 215–251
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Abstract |
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Let be a one-ended, torsion-free hyperbolic group and let be a semisimple Lie group with finite center. Using the canonical JSJ splitting due to Sela, we define amalgam Anosov representations of into and prove that they form a domain of discontinuity for the action of . In the appendix, we prove, using projective Anosov Schottky groups, that if the restriction of the representation to every Fuchsian or rigid vertex group of the JSJ splitting of is Anosov, with respect to a fixed pair of opposite parabolic subgroups, then is amalgam Anosov. |
Keywords
character variety, Anosov representation, hyperbolic groups
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Mathematical Subject Classification 2010
Primary: 20H10, 22E40, 57M50
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References |
Publication
Received: 9 November 2014
Revised: 17 December 2015
Accepted: 24 February 2016
Published: 10 February 2017
Proposed: David Gabai
Seconded: Jean-Pierre Otal, Martin Bridson
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Authors |
| Richard D Canary | |
| Department of Mathematics University of Michigan 2074 East Hall 530 Church St Ann Arbor, MI 48109-1043 United States |
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| Michelle Lee | |
| Department of Mathematics University of Maryland William E Kirwan Hall 4176 Campus Dr College Park, MD 20742-4015 United States |
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| Matthew Stover | |
| Department of Mathematics Temple University Wachman Hall 1805 N Broad St Philadelphia, PA 19122 United States |
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| Richard D Canary | |
| Michelle Lee | |
| Andrés Sambarino | |
| Faculté de Mathématiques Université Paris VI Pierre et Marie Curie 4 Place Jussieu 75005 Paris France |
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| Matthew Stover | |
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