Groups possessing only indiscrete embeddings in SL(2,C)
Group Theory
2012-11-27 v2 Geometric Topology
Abstract
We give results on when a finitely generated group has only indiscrete embeddings in SL(2,C), with particular reference to 3-manifold groups. For instance if we glue two copies of the figure 8 knot along its torus boundary then the fundamental group of the resulting closed 3-manifold sometimes embeds in SL(2,C) and sometimes does not, depending on the identification. We also give another quick counterexample to Minsky's simple loop question.
Keywords
Cite
@article{arxiv.1210.2691,
title = {Groups possessing only indiscrete embeddings in SL(2,C)},
author = {J. O. Button},
journal= {arXiv preprint arXiv:1210.2691},
year = {2012}
}
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