Representations of Fundamental Groups of 3-manifolds into Pgl(3,c): Exact Computations in Low Complexity
نویسنده
چکیده
In this paper we are interested in computing representations of the fundamental group of a 3-manifold into PSL(3,C) (in particular in PSL(2,C),PSL(3,R) and PU(2, 1)). The representations are obtained by gluing decorated tetrahedra of flags as in [11, 1]. We list complete computations (giving 0-dimensional or 1-dimensional solution sets) for the first complete hyperbolic non-compact manifolds with finite volume which are obtained gluing less than three tetrahedra with a description of the computer methods used to find them.
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