Pseudoholomorphic punctured spheres in \(\mathbb R\times (S^1\times S^2)\)

DOI10.2140/gt.2006.10.1855zbMath1161.53075arXiv0903.0337OpenAlexW3125146336MaRDI QIDQ860173

Clifford Henry Taubes

Publication date: 23 January 2007

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0337

zbMATH Keywords

symplectic manifoldsSeiberg-Witten invariantssymplectic formalmost complex structurespseudoholomorphic curvessymplectizationmodule spacessymplectic and contac topology

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Symplectic and contact topology in high or arbitrary dimension (57R17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Symplectic structures of moduli spaces (53D30) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items

Proof of the simplicity conjecture ⋮ Taming the pseudoholomorphic beasts in \(\mathbb{R} \times (S^1 \times S^2)\) ⋮ Constructing Lefschetz-type fibrations on four-manifolds

Cites Work

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• Dynamics, topology and holomorphic curves
• The local behaviour of holomorphic curves in almost complex 4-manifolds
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• Compactness results in symplectic field theory
• An openness theorem for harmonic 2-forms on 4-manifolds
• A compendium of pseudoholomorphic beasts in \({\mathbf R}\times (S^1\times S^2)\)
• Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
• Constructing symplectic forms on 4--manifolds which vanish on circles
• Properties of pseudo-holomorphic curves in symplectisations. II: Embedding controls and algebraic invariants
• Pseudoholomorphic punctured spheres in \(\mathbb R\times(S^1\times S^2)\): properties and existence