The classification of maps of surfaces

DOI10.1007/BF01388704zbMath0633.57002OpenAlexW2094966443MaRDI QIDQ5903511

William H. Kazez, David Gabai

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143508

zbMATH Keywords

branched covering maps of surfaces

Mathematics Subject Classification ID

Related Items (10)

Boundaries of \(\pi_ 1\)-injective surfaces ⋮ The classification of maps of nonorientable surfaces ⋮ Realization of primitive branched coverings over closed surfaces following the Hurwitz approach ⋮ Haupt's theorem for strata of abelian differentials ⋮ Incompressible maps of surfaces and Dehn filling. ⋮ The minimizing of the Nielsen root classes ⋮ Lifting of homeomorphisms to 4-sheeted branched coverings of a disk ⋮ The index of coincidence Nielsen classes of maps between surfaces ⋮ The Severi problem for abelian surfaces in the primitive case ⋮ Vector bundles and finite covers

Cites Work

• The simple loop conjecture
• On the classification of generic branched coverings of surfaces
• Deformation of maps to branched coverings in dimension two
• On the Construction of Branched Coverings of Low-Dimensional Manifolds

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