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arXiv 2013-04-24 DOI 10.1142/S1793525316500266 0 views

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

Miyoshi, Shigeaki

Original · EN

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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