Pseudoholomorphic punctured spheres in \(\mathbb R\times(S^1\times S^2)\): properties and existence

DOI10.2140/gt.2006.10.785zbMath1134.53045arXiv0903.0142OpenAlexW2963110919MaRDI QIDQ2501699

Clifford Henry Taubes

Publication date: 11 September 2006

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

Full work available at URL: https://arxiv.org/abs/0903.0142

zbMATH Keywords

moduli spacealmost complex structureendspunctured sphereReeb orbitpseudoholomorphic subvariety

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)

Related Items (10)

Pseudoholomorphic punctured spheres in \(\mathbb R\times (S^1\times S^2)\) ⋮ Pseudoholomorphic maps into folded symplectic four-manifolds ⋮ Lecture Notes on Embedded Contact Homology ⋮ Proof of the simplicity conjecture ⋮ Taming the pseudoholomorphic beasts in \(\mathbb{R} \times (S^1 \times S^2)\) ⋮ HF=HM. II: Reeb orbits and holomorphic curves for the ech/Heegaard Floer correspondence ⋮ Constructing Lefschetz-type fibrations on four-manifolds ⋮ Rounding corners of polygons and the embedded contact homology of \(T^3\) ⋮ CYLINDRICAL CONTACT HOMOLOGY OF A DEHN TWIST ⋮ The periodic Floer homology of a Dehn twist

Cites Work

• Dynamics, topology and holomorphic curves
• The local behaviour of holomorphic curves in almost complex 4-manifolds
• The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on \(S^1\times B^3\)
• 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
• The periodic Floer homology of a Dehn twist
• Gromov's Compactness Theorem for Pseudo Holomorphic Curves
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