Graphs of stable maps from closed surfaces to the projective plane. (English) Zbl 1422.57074
Summary: We describe how to attach a weighted graph to each stable map from closed surfaces to the projective plane and prove that any weighted graph with non negatively weighted vertices is the graph of some stable map from a closed surface to the projective plane.
MSC:
| 57R45 | Singularities of differentiable mappings in differential topology |
| 57R65 | Surgery and handlebodies |
| 37E25 | Dynamical systems involving maps of trees and graphs |
References:
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