64 citations · 247 across the 36 of their papers we have counts for
42 papers
Hyperbolic manifolds without structures and non-vanishing higher order Stiefel-Whitney classes
Alan W. Reid, Connor Sell
We show that in every commensurability class of cusped arithmetic hyperbolic manifolds of simplest type of dimension there are manifolds such that the Stiefel-Whit…
Property FA is not a profinite property
Tamunonye Cheetham-West, Alexander Lubotzky, Alan W. Reid +1
We exhibit infinitely many pairs of non-isomorphic finitely presented, residually finite groups and with having Property FA, having a non-trivial action on a tree a…
The Dirac operator on cusped hyperbolic manifolds
Bruno Martelli, Alan W. Reid
We study how the spin structures on finite-volume hyperbolic n-manifolds restrict to cusps. When a cusp cross-section is a (n-1)-torus, there are essentially two possible behaviour…
Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata
Michael Freedman, Daniel Kasprowski, Matthias Kreck +2
Motivated by applications to pulling back quantum cellular automata from one manifold to another, we study the existence of immersions between certain smooth 4-manifolds. We show t…
Infinitely many arithmetic hyperbolic rational homology 3-spheres that bound geometrically
Leonardo Ferrari, Alexander Kolpakov, Alan W. Reid
In this paper we provide the first examples of arithmetic hyperbolic 3-manifolds that are rational homology spheres and bound geometrically either compact or cusped hyperbolic 4-ma…
Totally geodesic hyperbolic 3-manifolds in hyperbolic link complements of tori in
Michelle Chu, Alan W. Reid
In this paper we prove that certain hyperbolic link complements of -tori in do not contain closed embedded totally geodesic hyperbolic -manifolds.