Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses
Geometric Topology
2007-05-23 v2
Abstract
Following on from work of Dunfield, we determine the fibred status of all the unknown hyperbolic 3-manifolds in the cusped census. We then find all the fibred hyperbolic 3-manifolds in the closed census and use this to find over 100 examples each of closed and cusped virtually fibred non-fibred census 3-manifolds, including the Weeks manifold. We also show that the co-rank of the fundamental group of every 3-manifold in the cusped and in the closed census is 0 or 1.
Cite
@article{arxiv.math/0410321,
title = {Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses},
author = {J. O. Button},
journal= {arXiv preprint arXiv:math/0410321},
year = {2007}
}
Comments
50 pages, including 2 figures and 14 pages of tables