4 papers
Cut pairs and Morse splitting of finitely generated groups
Suzhen Han, Hao Liang, Qing Liu
Bowditch's theorem for hyperbolic groups establishes a fundamental correspondence between splittings over two-ended subgroups and the existence of local cut points in the Gromov bo…
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…
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…
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…