103 citations · 264 across the 55 of their papers we have counts for
6 papers · 1 filter
Chain groups of homeomorphisms of the interval
Sang-hyun Kim, Thomas Koberda, Yash Lodha
We introduce and study the notion of a chain group of homeomorphisms of a one-manifold, which is a certain generalization of Thompson's group . The resulting class of groups exh…
Flexibility of group actions on the circle
Sang-hyun Kim, Thomas Koberda, Mahan Mj
In this partly expository monograph we develop a general framework for producing uncountable families of exotic actions of certain classically studied groups acting on the circle.…
Residually finite rationally groups
Thomas Koberda, Alexander I. Suciu
In this article we develop the theory of residually finite rationally (RFR) groups, where is a prime. We first prove a series of results about the structure of finitely…
A representation theoretic characterization of simple closed curves on a surface
Thomas Koberda, Ramanujan Santharoubane
We produce a sequence of finite dimensional representations of the fundamental group of a closed surface where all simple closed curves act with finite order, but where ea…
Exotic mapping class group actions on the circle
Sang-hyun Kim, Thomas Koberda
It has been known since the time of Nielsen that the mapping class group of a surface of genus and one puncture acts faithfully by homeomorphisms on the circ…
Unsmoothable group actions on compact one-manifolds
Hyungryul Baik, Sang-hyun Kim, Thomas Koberda
We show that no finite index subgroup of a sufficiently complicated mapping class group or braid group can act faithfully by diffeomorphisms on the circle, whic…