The structure of 3-manifolds with 2-generated fundamental group
Geometric Topology
2007-05-23 v1
Abstract
We prove a structure theorem for 3-manifolds with non-trivial JSJ-decomposition and 2-generated fundamental group. We deduce a variety of Corollaries. Note this is not a complete classification of such manifolds. In particular we believe that one of the families in our list is empty. If you know something about hyperbolic 2-bridge knot exteriors and their finite sheeted covering spaces you might want to finish this off. Thanks.
Keywords
Cite
@article{arxiv.math/0111327,
title = {The structure of 3-manifolds with 2-generated fundamental group},
author = {Michel Boileau and Richard Weidmann},
journal= {arXiv preprint arXiv:math/0111327},
year = {2007}
}
Comments
42 pages