On the SU(2,1) representation space of the Brieskorn homology spheres

Details On the SU(2,1) representation space of the Brieskorn homology spheres On the SU(2,1) representation space of the Brieskorn homology spheres

2008-11-14

arxiv.org/abs/0811.2289v1

J. Math. Sci. Univ. Tokyo 14 (2007), no. 4, 499--510

Mathematics

Geometric Topology

Scientific paper

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
\cite{krebs} does not distinguish the connected components of the PU(2,1)
representation space.

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