Academic Journal
An extended definition of Anosov representation for relatively hyperbolic groups.
| Τίτλος: | An extended definition of Anosov representation for relatively hyperbolic groups. |
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| Συγγραφείς: | Weisman, Theodore1 (AUTHOR) tjwei@umich.edu |
| Πηγή: | Journal of Topology. Jun2026, Vol. 19 Issue 2, p1-71. 71p. |
| Θεματικοί όροι: | *Hyperbolic groups, *Representations of groups (Algebra), *Manifolds (Mathematics) |
| Περίληψη: | We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various different types of "geometrically finite" convex projective manifolds. We prove that these representations are all stable under deformations whose restriction to the peripheral subgroups satisfies a dynamical condition, in particular, allowing for deformations which do not preserve the conjugacy class of the peripheral subgroups. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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