Representing nonnegative homology classes of ℂℙ²#𝕟\overline{ℂℙ}² by minimal genus smooth embeddings

DOI10.1090/S0002-9947-99-02422-8zbMath0947.57034OpenAlexW1524482517MaRDI QIDQ4485732

Bang-He Li

Publication date: 18 June 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02422-8

zbMATH Keywords

embeddinggenus of surfacerealization of homology classes

Mathematics Subject Classification ID

Related Items (9)

The minimal genus problem in rational surfaces \(CP^2 \sharp n\overline{CP^2}\) ⋮ Stability and existence of surfaces in symplectic 4-manifolds with \(b^+=1\) ⋮ A note on the complexity of \(h\)-cobordisms ⋮ Smooth minimal genera for small negative classes in \({\mathbb C}P^{2}{\#}n{\overline{{\mathbb C}P}^2}\) with \(n {\leqslant} 9\) ⋮ The symplectomorphism group of a blow up ⋮ The minimal genus problem for elliptic surfaces ⋮ Minimal genus for 4-manifolds withb⁺ = 1 ⋮ The minimal genus problem -- a quarter century of progress ⋮ Minimal genus and simplified classes in rational manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Positive 2-spheres in 4-manifolds of signature \((1,n)\)
• On the diffeomorphism types of certain algebraic surfaces. I
• Embeddings of surfaces in 4-manifolds. I
• Smooth embeddings of 2-spheres in 4-manifolds
• A product formula for the Seiberg-Witten invariants and the generalized Thom conjecture
• Minimal genus embeddings in \(S^ 2\)-bundles over surfaces
• Minimal genus smooth embeddings in \(S^2\times S^2\) and \(CP^2\# n\overline{CP^2}\) with \(n\leq 8\)
• Embedded 2-spheres in indefinite 4-manifolds
• The orientation of Yang-Mills moduli spaces and 4-manifold topology
• Monopoles and four-manifolds
• The genus of embedded surfaces in the projective plane
• The Seiberg-Witten invariants and symplectic forms
• More constraints on symplectic forms from Seiberg-Witten invariants
• The Seiberg-Witten and Gromov invariants
• Symplectic structure on ruled surfaces and a generalized adjunction formula
• General wall crossing formula
• Classification problems in differential topology. II: Diffeomorphisms of handlebodies
• ON 2-SPHERES IN 4-MANIFOLDS
• Representing Positive Homology Classes of $CP^2{\tt \#}2\overline{CP}^2$ and $CP^2{\tt \#}3\overline{CP}^2$
• The Seiberg-Witten equations and 4-manifold topology
• Representing homology classes of almost definite 4-manifolds

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