Graphs of stable maps from 3-manifolds to 3-space

DOI10.1007/s00009-012-0224-2zbMath1269.57012OpenAlexW1964791081MaRDI QIDQ1949872

Raul Oset Sinha, María Del Carmen Romero Fuster

Publication date: 17 May 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-012-0224-2

zbMATH Keywords

singularitiestopological invariantsgraphsHeegaard splittingstable mapsfold maps

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Topological properties of mappings on manifolds (58K15)

Related Items (3)

Construcción de aplicaciones estables de $3$-variedades en $\mathbb{R}^3$ ⋮ Invariants of stable maps from the 3-sphere to the Euclidean 3-space ⋮ Grafos pesados y aplicaciones estables de 3-variedades en R3

Cites Work

• Global topological invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\)
• Stable maps from surfaces to the plane with prescribed branching data
• Nonsingular Smale flows on \(S^ 3\)
• Topology of special generic maps of manifolds into Euclidean spaces
• First-order local invariants of stable maps from 3-manifolds to \(\mathbb R^{3}\)
• Topological classification of Morse functions and generalisations of Hilbert's 16-th problem
• First order local invariants of apparent contours
• Graphs and flows on surfaces
• Fold Maps from the Sphere to the Plane
• ON SINGULARITIES OF FOLDING TYPE
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