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arXiv · 1304.6503

Links and submersions to the plane on an open 3-manifold

Shigeaki Miyoshi
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Abstract

We study the realization problem which asks if a given oriented link in an open 3-manifold can be realized as a fiber of a submersion to the Euclidean plane. We correct the results obtained before by the author which contains an error and certain imperfection, and investigate a necessary and sufficient condition for the realization in the words of well-known invariants. We obtain the condition expressed by the first homology group with mod 2 coefficient.

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Shigeaki Miyoshi. 2016-01-08. Links and submersions to the plane on an open 3-manifold. https://doi.org/10.1142/s1793525316500266

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