arXiv Analytics

Sign in

arXiv:math/0111327 [math.GT]AbstractReferencesReviewsResources

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

Michel Boileau, Richard Weidmann

Published 2001-11-30Version 1

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.

Related articles: Most relevant | Search more
arXiv:0904.0237 [math.GT] (Published 2009-04-01)
Geometry, Heegaard splittings and rank of the fundamental group of hyperbolic 3-manifolds
arXiv:1408.2612 [math.GT] (Published 2014-08-12, updated 2014-08-20)
Structure of the fundamental groups of orbits of smooth functions on surfaces
arXiv:math/0312322 [math.GT] (Published 2003-12-17)
Dehn surgery, the fundamental group and SU(2)