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Creators/Authors contains: "Manning, Jason Fox"

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  1. ; ; (, Groups, Geometry, and Dynamics)
    A hyperbolic group \Gammaacts by homeomorphisms on its Gromov boundary\partial \Gamma. We use a dynamical coding of boundary points to show that such actions aretopologically stablein the dynamical sense: any nearby action is semi-conjugate to (and an extension of) the standard boundary action. This result was previously known in the special case that\partial \Gammais a topological sphere. Our proof here is independent and gives additional information about the semi-conjugacy in that case. Our techniques also give a new proof of global stability when\partial \Gamma = S^{1}. 
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    Free, publicly-accessible full text available March 17, 2026
  2. ; (, Forum of Mathematics, Sigma)
    Abstract A hyperbolic groupGacts by homeomorphisms on its Gromov boundary. We show that if$$\partial G$$is a topologicaln–sphere, the action istopologically stablein the dynamical sense: any nearby action is semi-conjugate to the standard boundary action. 
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  3. ; (, Journal of Topology)
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  4. ; (, Bulletin of the London Mathematical Society)
    Italiano–Martelli–Migliorini recently constructed hyperbolic groups which have non-hyperbolic subgroups of finite type. Using a closely related construction, Llosa Isenrich–Martelli–Py constructed hyperbolic groups with subgroups of type F3 but not F4. We observe that these hyperbolic groups can be chosen to be special in the sense of Haglund–Wise. 
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  5. ; (, American Journal of Mathematics)
    We define a new condition on relatively hyperbolic Dehn filling which allows us to control the behavior of a relatively quasiconvex subgroups which need not be full. As an application, in combination with recent work of Cooper and Futer, we provide a new proof of the virtual fibering of non-compact finite-volume hyperbolic 3-manifolds, a result first proved by Wise. Additionally, we explain how previous results on multiplicity and height can be generalized to the relative setting to control the relative height of relatively quasiconvex subgroups under appropriate Dehn fillings. 
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  6. ; ; (, Commentarii Mathematici Helvetici)
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