Experimental Mathematics

Fibred and virtually fibred hyperbolic 3-manifolds in the censuses

J. O. Button

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Abstract

Continuing the 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 nonfibred virtually fibred census 3-manifolds, including the Weeks manifold. We also show that the corank of the fundamental group of every 3-manifold in the cusped and in the closed census is 0 or 1.

Article information

Source
Experiment. Math., Volume 14, Issue 2 (2005), 231-255.

Dates
First available in Project Euclid: 30 September 2005

Permanent link to this document
https://projecteuclid.org/euclid.em/1128100134

Mathematical Reviews number (MathSciNet)
MR2169525

Zentralblatt MATH identifier
1085.57012

Subjects
Primary: 57N10: Topology of general 3-manifolds [See also 57Mxx] 57M05: Fundamental group, presentations, free differential calculus

Keywords
Fibred 3-manifolds census

Citation

Button, J. O. Fibred and virtually fibred hyperbolic 3-manifolds in the censuses. Experiment. Math. 14 (2005), no. 2, 231--255. https://projecteuclid.org/euclid.em/1128100134


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