Deformation space of discrete groups of SU(2,1) in quaternionic hyperbolic plane
arXiv:1803.05231 · doi:10.1080/10586458.2018.1559776
Abstract
In this note, we study deformations of discrete and Zariski dense subgroups of SU(2, 1) in quaternionic hyperbolic space. Specifi- cally we consider two examples coming from representations of 3-manifold groups (the figure eight knot and Whitehead links complement) and show opposite behavior: one is not deformable outside U(2,1), while the other has a big space of deformations in Sp(2, 1).
V2: Some minor corrections