Deformation space of discrete groups of SU(2,1) in quaternionic hyperbolic plane
Geometric Topology
2022-03-25 v2
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).
Keywords
Cite
@article{arxiv.1803.05231,
title = {Deformation space of discrete groups of SU(2,1) in quaternionic hyperbolic plane},
author = {Antonin Guilloux and Inkang Kim},
journal= {arXiv preprint arXiv:1803.05231},
year = {2022}
}
Comments
V2: Some minor corrections