On the SU(2,1) representation space of the Brieskorn homology spheres
Abstract
In this paper, we give a parameterization of the SU(2,1) representation space of the Brieskorn homology spheres using the trace coordinates. As applications, we give an example which shows that the orbifold Toledo invariant in krebs does not distinguish the connected components of the PU(2,1) representation space.
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