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    Amalgam anosov representations

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    Genre
    Pre-print
    Date
    2017-02-10
    Author
    Canary, RD
    Lee, M
    Stover, M
    Sambarino, A
    Subject
    math.GT
    math.GT
    math.DS
    math.GR
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/4955
    
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    DOI
    10.2140/gt.2017.21.215
    Abstract
    © 2017, Mathematical Sciences Publishers. All rights reserved. Let Γ be a one-ended, torsion-free hyperbolic group and let G be a semisimple Lie group with finite center. Using the canonical JSJ splitting due to Sela, we define amalgam Anosov representations of Γ into G and prove that they form a domain of discontinuity for the action of Out(Γ). 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 Γ is Anosov, with respect to a fixed pair of opposite parabolic subgroups, then ρ is amalgam Anosov.
    Citation to related work
    Mathematical Sciences Publishers
    Has part
    Geometry and Topology
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    ae974a485f413a2113503eed53cd6c53
    http://dx.doi.org/10.34944/dspace/4937
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