103 citations · 264 across the 55 of their papers we have counts for
35 papers · 1 filter
Hyperbolicity and obstructions to PL actions of the circle
Leonardo Dinamarca, Maximiliano Escayola, Sang-hyun Kim +1
We prove the following ``Torus Trichotomy Theorem'': every finitely generated subgroup of $\pls$ is either virtually free, a central extension of a cocompact Fuchsian group by a fi…
Linearity criteria for automorphism groups of malabelian groups
Thomas Koberda, Mark Pengitore
Let be a finitely generated malabelian group, let be a finitely generated subgroup, and let denote the preimage of in . We…
Elementary equivalence and diffeomorphism groups of smooth manifolds
Sang-hyun Kim, Thomas Koberda, J. de la Nuez González
Let and be smooth manifolds, with closed and connected. If the --diffeomorphism group of is elementarily equivalent to the --diffeomorphism group of f…
Generic torsion-free groups and Rubin actions
Thomas Koberda, Yash Lodha
We use model theoretic forcing to prove that a generic countable torsion-free group does not admit any nontrivial locally moving action on a Hausdorff topological space, and yet ad…
Locally approximating groups of homeomorphisms of manifolds
Thomas Koberda, J. de la Nuez González
Let be a compact, connected manifold of positive dimension, and let be locally approximating. If , we construct a unifor…
Uniform first order interpretation of the second order theory of countable groups of homeomorphisms
Thomas Koberda, J. de la Nuez González
We show that the first order theory of the homeomorphism group of a compact manifold interprets the full second order theory of countable groups of homeomorphisms of the manifold.…