Holomorphic spheres and four-dimensional symplectic pairs

DOI10.1007/s12220-019-00163-wzbMath1440.57031arXiv1802.00790OpenAlexW2964321845WikidataQ125777542 ScholiaQ125777542MaRDI QIDQ2303819

Gianluca Bande, Paolo Ghiggini

Publication date: 5 March 2020

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.00790

zbMATH Keywords

\(J\)-holomorphic curvessymplectic pairs\(J\)-holomorphic foliations

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Foliations in differential topology; geometric theory (57R30) Symplectic structures in 4 dimensions (57K43)

Cites Work

• On genericity for holomorphic curves in four-dimensional almost-complex manifolds
• Symplectic geometry: an introduction based on the seminar in Bern, 1992
• Holomorphic curves in low dimensions. From symplectic ruled surfaces to planar contact manifolds
• Signatures of foliated surface bundles and the symplectomorphism groups of surfaces
• On products of harmonic forms.
• The genus of embedded surfaces in the projective plane
• The Seiberg-Witten invariants and symplectic forms
• The Structure of Rational and Ruled Symplectic 4-Manifolds
• Feuilletages holomorphes sur les surfaces complexes compactes
• Stability theorems for symplectic and contact pairs
• Contact hypersurfaces in uniruled symplectic manifolds always separate
• The geometry of symplectic pairs
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