103 citations · 264 across the 55 of their papers we have counts for
4 papers · 2 filters
Structure and regularity of group actions on one-manifolds
Sang-hyun Kim, Thomas Koberda
In this monograph, we give an account of the relationship between the algebraic structure of finitely generated and countable groups and the regularity with which they act on manif…
Geometry and combinatorics via right-angled Artin groups
Thomas Koberda
We survey the relationship between the combinatorics and geometry of graphs and the algebraic structure of right-angled Artin groups. We concentrate on the defining graph of the ri…
Virtual critical regularity of mapping class group actions on the circle
Sang-hyun Kim, Thomas Koberda, Cristóbal Rivas
We show that if and are non-solvable groups, then no action of on is faithful for . As a corollary, if is an orien…
Hamiltonicity via cohomology of right-angled Artin groups
Ramón Flores, Delaram Kahrobaei, Thomas Koberda
Let be a finite graph and let be the corresponding right-angled Artin group. We characterize the Hamiltonicity of via the structure of the cohomology algebra of $A(Γ…