A sharp lower bound is established on the self-intersections of fold singularities for stable maps from oriented surfaces to R^2 by reducing the problem to bounds on immersed surface boundaries.
Eliashberg’s h-principle and generic maps of surfaces with pre- scribed singular locus.Topology and its Applications, 276:107168, May 2020
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A Lower Bound on the Self-intersections of Fold Singularities
A sharp lower bound is established on the self-intersections of fold singularities for stable maps from oriented surfaces to R^2 by reducing the problem to bounds on immersed surface boundaries.