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math.GT2026
Incidence complexes realization and profinite Rigidity
Yong Hou
We prove realization theorems for marked profinite groups by means of divisible fillings and completed cellular-incidence complexes. For a nonseparating curve on a closed surface,…
math.GT2021
The classification of Kleinian groups of Hausdorff dimensions at most one and Burnside's conjecture
Yong Hou
In this paper we provide the complete classification of convex cocompact Kleinian group of Hausdorff dimensions less than In particular, we prove that every convex cocompact K…