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Closed oriented 3-manifolds as 3-fold branched coverings of S 3 of special type

Hilden, Hugh Michael and Montesinos Amilibia, José María and Thickstun, Thomas L. (1976) Closed oriented 3-manifolds as 3-fold branched coverings of S 3 of special type. Pacific Journal of Mathematics, 65 (1). pp. 65-76. ISSN 0030-8730

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Abstract

The first author [Amer. J. Math. 98 (1976), no. 4, 989–992] and the second author [Quart. J. Math. Oxford Ser. (2) 27 (1976), no. 105, 85–94] have shown that any closed orientable 3-manifold M is a 3-fold cover of S3 branched over a knot. In the present paper it is proved that matters may be arranged so that the curve in M which covers the branch set in S3 bounds a disc in M.

Item Type:Article
Uncontrolled Keywords:Topology of general 3-manifolds
Subjects:Sciences > Mathematics > Topology
ID Code:17270
References:

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H. M. Hilden, Every closed orientable 3-manίfold is a S-fold branched covering space of S3, Bull. Amer. Math. Soc. 80 (1974), 1243-44.

H. M. Hilden, Three-fold branched coverings of S3, to appear in Amer. J. math.

J. M. Montesinos, A representation of closed orientable 3-manifolds as S-fold branched coverings of S3, Bull. Amer. Math. Soc, 80 (1964), 845-846.

J. M. Montesinos, Three manifolds as 3-fold branched covers of S3, to appear.

J. M. Montesinos,, Una nota a un teorema de Alexander, Revista Mat. Hisp.-Amer. 4° series 32 (1972), 167-187.

L. P. Neuwirth, Knot groups, Annals of Math. Studies, No. 56, Princeton University Press.

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Last Modified:07 Feb 2014 09:45

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