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

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

2001-11-30

arxiv.org/abs/math/0111327v1

Mathematics

Geometric Topology

42 pages

Scientific paper

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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