Slope inequalities for the geography problem of nonspin symplectic 4-manifolds

DOI10.1016/j.topol.2023.108813OpenAlexW4390532027MaRDI QIDQ6191236

B. Doug Park

Publication date: 9 February 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108813

zbMATH Keywords

geography problemsymplectic 4-manifoldsBogomolov-Miyaoka-Yau inequality

Mathematics Subject Classification ID

Differentiable structures in differential topology (57R55) Symplectic structures in 4 dimensions (57K43)

Cites Work

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• Irreducible 4-manifolds need not be complex
• The topology of four-dimensional manifolds
• Exotic smooth structures on \(\mathbb {CP}^{2} \# 5 \overline{{\mathbb {CP}^2}}\)
• Exotic smooth structures on small 4-manifolds with odd signatures
• Knots, links, and 4-manifolds
• Symplectic normal connect sum
• Exotic smooth structures on 4-manifolds. II
• Chern numbers of algebraic surfaces
• An application of gauge theory to four dimensional topology
• A new construction of symplectic manifolds
• Geography of simply connected nonspin symplectic 4-manifolds with positive signature
• Minimality and symplectic sums
• Calabi's conjecture and some new results in algebraic geometry
• Smoothly embedded spheres in symplectic 4-manifolds
• The geography problem for irreducible spin four-manifolds
• Geography of simply connected nonspin symplectic 4-manifolds with positive signature. II
• Minimality and irreducibility of symplectic four-manifolds
• On the Chern numbers of surfaces of general type
• Abelian branched covers of rational surfaces

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