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Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity
Abstract : 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. 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.
https://hal.inria.fr/hal-00908843
Contributor : Fabrice Rouillier Connect in order to contact the contributor
Submitted on : Monday, November 25, 2013 - 1:42:42 PM
Last modification on : Wednesday, January 12, 2022 - 3:47:16 AM
Contributor : Fabrice Rouillier Connect in order to contact the contributor
Submitted on : Monday, November 25, 2013 - 1:42:42 PM
Last modification on : Wednesday, January 12, 2022 - 3:47:16 AM
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