Links and submersions to the plane on an open 3-manifold
Geometric Topology
2016-01-11 v3
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.
Keywords
Cite
@article{arxiv.1304.6503,
title = {Links and submersions to the plane on an open 3-manifold},
author = {Shigeaki Miyoshi},
journal= {arXiv preprint arXiv:1304.6503},
year = {2016}
}
Comments
18 pages, 2 figures, Journal of Topology and Analysis (2016)