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math.GR2020
Direct products, overlapping actions, and critical regularity
Sang-hyun Kim, Thomas Koberda, Cristóbal Rivas
We address the problem of computing the critical regularity of groups of homeomorphisms of the interval. Our main result is that if and are two non-solvable groups then a f…
math.GT2020
Shapes of hyperbolic triangles and once-punctured torus groups
Sang-hyun Kim, Thomas Koberda, Jaejeong Lee +3
Let be a hyperbolic triangle with a fixed area . We prove that for all but countably many , generic choices of have the property that the group generated by the --…