The structure of 3-manifolds with 2-generated fundamental group

Michel Boileau; Richard Weidmann

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arXiv · math/0111327

The structure of 3-manifolds with 2-generated fundamental group

Michel Boileau·Richard Weidmann

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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.

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BibTeX RIS

Michel Boileau, Richard Weidmann. 2001-11-30. The structure of 3-manifolds with 2-generated fundamental group. https://arxiv.org/abs/math/0111327

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