Given a null-cobordant oriented framed link L in a closed oriented 3–manifold M, we determine those links in M \ L which can be realized as the singular point set of a generic map M → R2 that has L as an oriented framed regular fiber. Then, we study the linking behavior between the singular point set and regular fibers for generic maps of M into R2.
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Applied Mathematics