64 citations · 149 across the 13 of their papers we have counts for
14 papers
Most Hitchin representations are strongly dense
D. D. Long, A. W. Reid, M. Wolff
We prove that generic Hitchin representations are strongly dense: every pair of non commuting elements in their image generate a Zariski-dense subgroup of SL_n(R). The proof uses a…
Deforming convex projective manifolds
Daryl Cooper, Darren Long, Stephan Tillmann
We study a properly convex real projective manifold with (possibly empty) compact, strictly convex boundary, and which consists of a compact part plus finitely many convex ends. We…
Constructing thin subgroups commensurable with the figure-eight knot group
Samuel A. Ballas, Darren Long
In this paper we find infinitely many lattices in each of which contains thin subgroups commensurable with the figure-eight knot group.
A generalization of the Epstein-Penner construction to projective manifolds
Daryl Cooper, Darren Long
We extend the canonical cell decomposition due to Epstein and Penner of a hyperbolic manifold with cusps to the strictly convex setting. It follows that a sufficiently small deform…
On Convex Projective Manifolds and Cusps
Daryl Cooper, Darren Long, Stephan Tillmann
This study of properly or strictly convex real projective manifolds introduces notions of parabolic, horosphere and cusp. Results include a Margulis lemma and in the strictly conve…
Commensurators of non-free finitely generated Kleinian groups
C. J. Leininger, D. D. Long, A. W. Reid
Suppose G is a non-free finitely generated Kleinian group without parabolics which is not a lattice and let C(G) denote the commensurator in PSL(2,C). We prove that if the limit se…