Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity

E. Falbel; P. -V. Koseleff; F. Rouillier

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arXiv · 1307.6697

Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity

E. Falbel·P. -V. Koseleff·F. Rouillier

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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.

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BibTeX RIS

E. Falbel, P. -V. Koseleff, F. Rouillier. 2013-07-25. Representations of fundamental groups of 3-manifolds into PGL(3,C): Exact computations in low complexity. https://arxiv.org/abs/1307.6697

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