14 citations · 24 across the 11 of their papers we have counts for
10 papers · 1 filter
Parabolic-preserving deformations of cusped hyperbolic lattices
Samuel A. Ballas, Julien Paupert, Pierre Will
We study deformations of non-cocompact lattices of into and . A necessary condition for these deformations to remain discrete and f…
Slim curves, limit sets and spherical CR uniformisations
Elisha Falbel, Antonin Guilloux, Pierre Will
We consider here the -sphere seen as the boundary at infinity of the complex hyperbolic plane . It comes equipped with a contact structur…
Rank 1 deformations of non-cocompact hyperbolic lattices
Samuel A. Ballas, Julien Paupert, Pierre Will
Let be a negatively curved symmetric space and a non-cocompact lattice in . We show that small, parabolic-preserving deformations of into the isometry gro…
On SL(3,)-representations of the Whitehead link group
Antonin Guilloux, Pierre Will
We describe a family of representations in SL(3,) of the fundamental group of the Whitehead link complement. These representations are obtained by considering pairs…
Involution and commutator length for complex hyperbolic isometries
Julien Paupert, Pierre Will
We study decompositions of complex hyperbolic isometries as products of involutions. We show that PU(2,1) has involution length 4 and commutator length 1, and that for all $n \geqs…
Two Generator groups acting on the complex hyperbolic plane
Pierre Will
This is an expository article about groups generated by two isometries of the complex hyperbolic plane.