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

Antonin Guilloux; Inkang Kim

doi:10.1080/10586458.2018.1559776

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arXiv · 1803.05231

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

Antonin Guilloux·Inkang Kim

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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).

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BibTeX RIS

Antonin Guilloux, Inkang Kim. 2018-03-14. Deformation space of discrete groups of SU(2,1) in quaternionic hyperbolic plane. https://doi.org/10.1080/10586458.2018.1559776

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