103 citations · 264 across the 55 of their papers we have counts for
65 papers
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…
Set theory, logic, and homeomorphism groups of manifolds
James E. Hanson, Thomas Koberda, J. de la Nuez González +1
We investigate the relationship between axiomatic set theory and the first-order theory of homeomorphism groups of manifolds in the language of group theory, concentrating on first…
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…