37 citations · 259 across the 31 of their papers we have counts for
9 papers · 1 filter
Distinguishing geometries using finite quotients
Henry Wilton, Pavel Zalesskii
We prove that the profinite completion of the fundamental group of a compact 3-manifold satisfies a Tits alternative: if a closed subgroup does not contain a free pro- s…
Stackings and the W-cycle conjecture
Larsen Louder, Henry Wilton
We prove Wise's -cycles conjecture. Consider a compact graph immering into another graph . For any immersed cycle , we consider the map from the circula…
On the recognition problem for virtually special cube complexes
Martin R. Bridson, Henry Wilton
We address the question of whether the property of being virtually special (in the sense of Haglund and Wise) is algorithmically decidable for finite, non-positively curved cube co…
Decision problems for 3-manifolds and their fundamental groups
Matthias Aschenbrenner, Stefan Friedl, Henry Wilton
We survey the status of some decision problems for 3-manifolds and their fundamental groups. This includes the classical decision problems for finitely presented groups (Word Probl…
Undecidability and the developability of permutoids and rigid pseudogroups
Martin R. Bridson, Henry Wilton
A permutoid is a set of partial permutations that contains the identity and is such that partial compositions, when defined, have at most one extension in the set. In 2004 Peter Ca…
3-manifolds everywhere
Danny Calegari, Henry Wilton
A random group contains many subgroups which are isomorphic to the fundamental group of a compact hyperbolic 3-manifold with totally geodesic boundary. These subgroups can be taken…