Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses

J. O. Button

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arXiv · math/0410321

Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses

J. O. Button

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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.

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BibTeX RIS

J. O. Button. 2004-10-14. Fibred and Virtually Fibred hyperbolic 3-manifolds in the censuses. https://arxiv.org/abs/math/0410321

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