Maps on 3-manifolds given by surgery
arXiv:1205.5511
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.
22 pages, 13 figures. Accepted for publication by Pacific J. Math