103 citations · 264 across the 55 of their papers we have counts for
5 papers · 2 filters
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.…
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…