7 papers
The topology of Schottky spaces in higher dimensions
Donggyun Seo
The marked Schottky space records, up to conjugacy, all actions of a free group of fixed rank as a Schottky group on hyperbolic space of fixed dimension. In dimension three it is t…
Dynamics of Dehn Twists in the Outer Automorphism Group of a Free Group
Donggyun Seo
We study Dehn twists in the outer automorphism group of a finitely generated non-abelian free group. Our main result states that, under certain compatibility conditions, sufficient…
A note on the Burnside problem for homeomorphism groups of manifolds
Donggyun Seo
This note studies the Burnside problem for homeomorphism groups of compact connected manifolds. For surfaces, we prove that the identity component of the homeomorphism group is tor…
The Pants Graph of a Free Group
Donggyun Seo
We introduce the concept of a pants decomposition for a finitely generated free group and construct the corresponding pants graph. A pants decomposition of a free group leads to th…
Percolation in acylindrically hyperbolic groups
Inhyeok Choi, Donggyun Seo
Let be an acylindrically hyperbolic group. We prove that Bernoulli bond percolation on every Cayley graph of has a nonuniqueness phase, in which there are infinitely many i…
A symmetry condition for genus zero free boundary minimal surfaces attaining the first eigenvalue of one
Dong-Hwi Seo
An embedded free boundary minimal surface in the 3-ball has a Steklov eigenvalue of one due to its coordinate functions. Fraser and Li conjectured that whether one is the first non…