Montesinos Amilibia, José María (1987) On 3-manifolds having surface bundles as branched coverings. Proceedings of the American Mathematical Society, 101 (3). pp. 555-558. ISSN 0002-9939
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We give a different proof of the result of M. Sakuma [Math. Sem. Notes Kobe Univ. 9 (1981), no. 1, 159–180] that every closed, oriented 3-manifold M has a 2-fold branched covering space N which is a surface bundle over S1. We also give a new proof of the result of Brooks that N can be made hyperbolic. We give examples of irreducible 3-manifolds which can be represented as 2m-fold cyclic branched coverings of S3 for a number of different m's as big as we like.
|Uncontrolled Keywords:||open-book; hyperbolic manifold; surface bundle over S 1 ; closed orientable 3-manifold; 2m-fold branched cyclic covering|
|Subjects:||Sciences > Mathematics > Topology|
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|Deposited On:||20 Nov 2012 12:55|
|Last Modified:||07 Feb 2014 09:42|
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