The smooth classification of elliptic surfaces with \(b^ +>1\)

DOI10.1215/S0012-7094-94-07501-7zbMath0828.14020OpenAlexW2086410519MaRDI QIDQ1341288

Zoltán Szabó, András I. Stipsicz

Publication date: 8 January 1996

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07501-7

zbMATH Keywords

deformationDonaldson polynomialminimal elliptic surface

Mathematics Subject Classification ID

Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Compact complex surfaces (32J15)

Related Items (5)

Small genus-$4$ Lefschetz fibrations on simply-connected $4$-manifolds ⋮ Symplectic and hyper-Kähler structures in a dimensional reduction of the Seiberg-Witten equations with a Higgs field ⋮ Small Lefschetz fibrations and exotic 4-manifolds ⋮ Genus-3 Lefschetz fibrations and exotic 4-manifolds with \(b_2^+=3\) ⋮ Exotic smooth structures on 3CP2♯8CP¯2

Cites Work

• On tori embedded in four-manifolds
• Irreducible 4-manifolds need not be complex
• Polynomial invariants for smooth four-manifolds
• The topology of four-dimensional manifolds
• Nuclei of elliptic surfaces
• Complex versus differentiable classification of algebraic surfaces
• On the diffeomorphism types of certain algebraic surfaces. I
• Instanton invariants and flat connections on the Kummer surface
• Surgery in cusp neighborhoods and the geography of irreducible 4-manifolds
• Instanton Homology of Seifert Fibred Homology Three Spheres
• Algebraic surfaces and 4-manifolds: Some conjectures and speculations
• 2-Torsion Instanton Invariants
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