Fibred and virtually fibred hyperbolic 3-manifolds in the censuses
Button, J. O.
Experiment. Math., Tome 14 (2005) no. 1, p. 231-255 / Harvested from Project Euclid
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.
Publié le : 2005-05-14
Classification:  Fibred,  3-manifolds,  census,  57N10,  57M05
@article{1128100134,
     author = {Button, J. O.},
     title = {Fibred and virtually fibred hyperbolic 3-manifolds in the censuses},
     journal = {Experiment. Math.},
     volume = {14},
     number = {1},
     year = {2005},
     pages = { 231-255},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1128100134}
}
Button, J. O. Fibred and virtually fibred hyperbolic 3-manifolds in the censuses. Experiment. Math., Tome 14 (2005) no. 1, pp.  231-255. http://gdmltest.u-ga.fr/item/1128100134/