3 papers
math.GR2026
On Uniformly Perfect Morse Boundaries
Suzhen Han, Qing Liu
We introduce and geometrically characterize the notion of uniformly perfect Morse boundary for proper geodesic metric spaces. As a unifying result, we prove that the Morse boundary…
math.AG2025
On the cohomological representations of finite automorphism groups of singular curves and compact complex spaces
Qing Liu, Wenfei Liu
Let G be a finite group acting tamely on a proper reduced curve C over an algebraically closed field. We study the G-module structure on the cohomology groups of a G-equivariant lo…
math.GR2024
Growth Rate Gap for Stable Subgroups
Suzhen Han, Qing Liu
We prove that stable subgroups of Morse local-to-global groups exhibit a growth gap. That is, the growth rate of an infinite-index stable subgroup is strictly less than the growth…