Maps on 3-manifolds given by surgery
Geometric Topology
2015-03-20 v1
Abstract
Suppose that the 3-manifold M is given by integral surgery along a link L in S^3. In the following we construct a stable map from M to the plane, whose singular set is canonically oriented. We obtain upper bounds for the minimal numbers of crossings and non-simple singularities and of connected components of fibers of stable maps from M to the plane in terms of properties of L.
Keywords
Cite
@article{arxiv.1205.5511,
title = {Maps on 3-manifolds given by surgery},
author = {Boldizsar Kalmar and Andras I. Stipsicz},
journal= {arXiv preprint arXiv:1205.5511},
year = {2015}
}
Comments
22 pages, 13 figures. Accepted for publication by Pacific J. Math