Embedded genus-2 surfaces in four-manifolds

DOI10.1215/S0012-7094-97-08924-9zbMath0886.57016OpenAlexW2090433300MaRDI QIDQ1373187

John W. Morgan, Zoltán Szabó

Publication date: 22 April 1998

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08924-9

zbMATH Keywords

symplectic manifoldsmoduli spacesDonaldson invariantsanti-selfdual connectionsfour-dimensional manifolds

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items

Seiberg-Witten-Floer homology of a surface times a circle for non-torsion spin^ℂstructures, The geography problem for irreducible spin four-manifolds

Cites Work

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• Irreducible 4-manifolds need not be complex
• Polynomial invariants for smooth four-manifolds
• The topology of four-dimensional manifolds
• Algebraic surfaces of general type with small \(c^2_1\). I
• A product formula for the Seiberg-Witten invariants and the generalized Thom conjecture
• Rational blowdowns of smooth 4-manifolds
• Monopoles and four-manifolds
• The genus of embedded surfaces in the projective plane
• Embedded surfaces and the structure of Donaldson's polynomial invariants
• A new construction of symplectic manifolds
• Irreducible four-manifolds with small Euler characteristics
• Donaldson invariants of 4-manifolds with simple type
• Topological properties of some spaces of stable bundles