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math.GT2026
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…
math.GT2026
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…
math.GT2023★ 1 cited
Uniform difference between the length spectra of Out(F2) and the genus two handlebody group
KyeongRo Kim, Donggyun Seo
In this paper, we analyze the natural homomorphism from the genus g handlebody group to the outer automorphism group of the free group with rank g, in terms of length spectra. In g…