Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses

Details Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses

2004-10-13

arxiv.org/abs/math/0410321v2

Mathematics

Geometric Topology

50 pages, including 2 figures and 14 pages of tables

Scientific paper

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.

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