Graphs of stable maps between closed orientable surfaces

DOI10.1007/s40314-016-0317-9zbMath1373.57049OpenAlexW2270653258MaRDI QIDQ2403100

C. Mendes de Jesus

Publication date: 15 September 2017

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-016-0317-9

zbMATH Keywords

graphsclosed surfacestable mapssingular set

Mathematics Subject Classification ID

Surgery and handlebodies (57R65) Relations of low-dimensional topology with graph theory (57M15) Singularities of differentiable mappings in differential topology (57R45)

Related Items (4)

Realization of graphs by fold Gauss maps ⋮ Eliashberg's \(h\)-principle and generic maps of surfaces with prescribed singular locus ⋮ On the periods of a continuous self-map on a graph ⋮ Topological entropy of continuous self-maps on a graph

Cites Work

• Global topological invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\)
• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Stable maps from surfaces to the plane with prescribed branching data
• Surgeries of pairing of edges associated to trivalent graphs
• Stable Gauss maps from a global viewpoint
• First order local invariants of apparent contours
• A Global Theorem for Singularities of Maps between Oriented 2-Manifolds
• Graphs of stable maps from closed orientable surfaces to the 2-sphere
• Fold Maps from the Sphere to the Plane
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