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

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

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

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1. Verfasser: Khoi, Vu The
Format: Artikel
Sprache:eng
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Mathematics - Geometric Topology
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Zusammenfassung:J. Math. Sci. Univ. Tokyo 14 (2007), no. 4, 499--510 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.
DOI:10.48550/arxiv.0811.2289