## On the $\SU$ representation space of the Brieskorn homology spheres

J. Math. Sci. Univ. Tokyo
Vol. 14 (2007), No. 4, Page 499--510.

Khoi, Vu The
On the $\SU$ representation space of the Brieskorn homology spheres
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Abstract:
We give an explicit parameterization of the $\SU$ representation space of the Brieskorn homology spheres using the trace coordinates. As an application, we give an example of a Brieskorn homology sphere for which the orbifold Toledo invariant defined by M.~Krebs does not distinguish all the connected components of the $\PU$ representation space.

Keywords: characteristic function, decomposition theorem, polynomial-normal distribution.

Mathematics Subject Classification (2000): Primary 57M05, Secondary 57M27
Mathematical Reviews Number: MR2395997