Author

Yong Hou

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Preprint Sep 2026

Cubical residual complexes and profinite rigidity of real hyperbolic lattices

We study profinite rigidity of real hyperbolic lattices, with the main application in dimension three. The basic tool is a profinite version of the dual cube complex of a pair of filling curves on a surface, which we call a profinite cubical residue complex. We prove that an equivariant isomorphism between the completi...

Yong Hou · 0 citations

Preprint Sep 2026

Incidence complexes realization and profinite Rigidity

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, the divisible curve-power quotients realize the closure of the cut-surface subgroup as an exact intersection and determine the full profinit...

Yong Hou · 0 citations