A combination theorem for Anosov subgroups

Abstract

We prove an analogue of Klein combination theorem for Anosov subgroups by using a local-to-global principle for Morse quasigeodesics.

arXiv comment28 pages, 4 figures

References in corpus (6)

• Anosov representations: Domains of discontinuity and applications
• Dynamics on flag manifolds: domains of proper discontinuity and cocompactness
• Combination of quasiconvex subgroups of relatively hyperbolic groups
• A Combination Theorem for Convex Hyperbolic Manifolds, with Applications to Surfaces in 3-Manifolds
• A quantitative version of the Morse lemma and ideal boundary fixing quasiisometries
• Virtual Amalgamation of Relatively Quasiconvex Subgroups

Cited by in corpus (5)

• Patterson-Sullivan theory for Anosov subgroups
• Klein-Maskit combination theorem for Anosov subgroups: Free products
• On Borel Anosov subgroups of $\mathrm{SL}(d,\mathbb{R})$
• Morse actions of discrete groups on symmetric spaces: Local-to-global principle
• Cubulated hyperbolic groups admit Anosov representations