On Spherical CR Uniformization of 3-Manifolds
نویسنده
چکیده
We consider the discrete representations of 3-manifold groups into PU(2, 1) that appear in the Falbel-Koseleff-Rouillier, such that the peripheral subgroups have cyclic unipotent holonomy. We show that two of these representations have conjugate images, even though they represent different 3-manifold groups. This illustrates the fact that a discrete representation π1(M) → PU(2, 1) with cyclic unipotent boundary holonomy is not in general the holonomy of a spherical CR uniformization of M .
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عنوان ژورنال:
- Experimental Mathematics
دوره 24 شماره
صفحات -
تاریخ انتشار 2015