Maps on 3-manifolds given by surgery

Boldizsar Kalmar; Andras I. Stipsicz

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arXiv · 1205.5511

Maps on 3-manifolds given by surgery

Boldizsar Kalmar·Andras I. Stipsicz

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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.

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Boldizsar Kalmar, Andras I. Stipsicz. 2012-05-24. Maps on 3-manifolds given by surgery. https://arxiv.org/abs/1205.5511

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