Circle-sum and minimal genus surfaces in ruled 4-manifolds

DOI10.1090/S0002-9939-07-08954-XzbMath1130.57037OpenAlexW2017783534MaRDI QIDQ5308144

Tian-Jun Li, Bang-He Li

Publication date: 27 September 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08954-x

zbMATH Keywords

minimal genusalmost complex surfaceadjunction inequalitycircle-sum

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Applications of global analysis to structures on manifolds (57R57) Embeddings in differential topology (57R40) Realizing cycles by submanifolds (57R95)

Related Items (4)

Stability and existence of surfaces in symplectic 4-manifolds with \(b^+=1\) ⋮ The minimal genus problem for elliptic surfaces ⋮ Minimal genus problem for \(T^2\)-bundles over surfaces ⋮ The minimal genus problem -- a quarter century of progress

Cites Work

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• Symplectic genus, minimal genus and diffeomorphisms
• 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 \(n\leq 8\)
• Symplectic structure on ruled surfaces and a generalized adjunction formula
• THE MINIMAL GENUS PROBLEM IN RULED MANIFOLDS
• Algebraic surfaces and Seiberg-Witten invariants

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