On -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

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Abstract: We give a different proof of the result of Sakuma that every closed, oriented -manifold has a -fold branched covering space which is a surface bundle over . We also give a new proof of the result of Brooks that can be made hyperbolic. We give examples of irreducible -manifolds which can be represented as -fold cyclic branched coverings of for a number of different 's as big as we like.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1987-0908668-1

Keywords:
Branched covering,
surface-bundle,
fibered knot,
hyperbolic knot,
hyperbolic manifold,
open-book,
cyclic covering

Article copyright:
© Copyright 1987
American Mathematical Society