Sang-hyun Kim

activity

20122026

most citedAlgebraic Structure of Diffeomorphism Groups of One-Manifolds

2 citations · 2 across the 9 of their papers we have counts for

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math.GR2021

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…

math.GR2021

Virtual critical regularity of mapping class group actions on the circle

Sang-hyun Kim, Thomas Koberda, Cristóbal Rivas

We show that if $G_{1}$ and $G_{2}$ are non-solvable groups, then no $C^{1, τ}$ action of $(G_{1} \times G_{2}) * Z$ on $S^{1}$ is faithful for $τ > 0$ . As a corollary, if $S$ is an orien…