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Deformation space of discrete groups of SU(2,1) in quaternionic hyperbolic plane

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).

preprint2018arXivOpen access
Antonin GuillouxInkang Kim
math.GT
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Open access2 authors1 topic
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Antonin GuillouxInkang Kim

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