Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

On $ 3$-manifolds having surface bundles as branched coverings


Author: José María Montesinos
Journal: Proc. Amer. Math. Soc. 101 (1987), 555-558
MSC: Primary 57M12; Secondary 57M25, 57N10
MathSciNet review: 908668
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We give a different proof of the result of Sakuma that every closed, oriented $ 3$-manifold $ M$ has a $ 2$-fold branched covering space $ N$ which is a surface bundle over $ {S^1}$. 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 $ {S^3}$ for a number of different $ m$'s as big as we like.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 57M12, 57M25, 57N10

Retrieve articles in all journals with MSC: 57M12, 57M25, 57N10


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0908668-1
PII: S 0002-9939(1987)0908668-1
Keywords: Branched covering, surface-bundle, fibered knot, hyperbolic knot, hyperbolic manifold, open-book, cyclic covering
Article copyright: © Copyright 1987 American Mathematical Society