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2005 Fibred and virtually fibred hyperbolic 3-manifolds in the censuses
J. O. Button
Experiment. Math. 14(2): 231-255 (2005).

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.

Citation

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J. O. Button. "Fibred and virtually fibred hyperbolic 3-manifolds in the censuses." Experiment. Math. 14 (2) 231 - 255, 2005.

Information

Published: 2005
First available in Project Euclid: 30 September 2005

zbMATH: 1085.57012
MathSciNet: MR2169525

Subjects:
Primary: 57M05, 57N10

Keywords: 3-manifolds, census, Fibred

Rights: Copyright © 2005 A K Peters, Ltd.

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Vol.14 • No. 2 • 2005
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