Nongeneric \(J\)-holomorphic curves and singular inflation

DOI10.2140/agt.2015.15.231zbMath1328.53106arXiv1309.6425OpenAlexW2035593986MaRDI QIDQ2340078

Emmanuel Opshtein, Dusa McDuff

Publication date: 16 April 2015

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

Full work available at URL: https://arxiv.org/abs/1309.6425

zbMATH Keywords

\(J\)-holomorphic curverational symplectic 4-manifoldnegative divisorrelative symplectic conerelative symplectic inflation

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35)

Related Items (6)

Stability and existence of surfaces in symplectic 4-manifolds with \(b^+=1\) ⋮ G-minimality and invariant negative spheres inG-Hirzebruch surfaces ⋮ Exact Lagrangians in \(A_n\)-surface singularities ⋮ Symplectic \((-2)\)-spheres and the symplectomorphism group of small rational 4-manifolds ⋮ Packing stability for symplectic $4$-manifolds ⋮ Symplectic embeddings of 4-dimensional ellipsoids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The embedding capacity of 4-dimensional symplectic ellipsoids
• Symplectic embeddings of ellipsoids in dimension greater than four
• The Hofer conjecture on embedding symplectic ellipsoids
• Symplectic genus, minimal genus and diffeomorphisms
• Negative inflation and stability in symplectomorphism groups of ruled surfaces
• Symplectic forms and surfaces of negative square
• On genericity for holomorphic curves in four-dimensional almost-complex manifolds
• The local behaviour of holomorphic curves in almost complex 4-manifolds
• A stability property of symplectic packing
• Symplectic packings and algebraic geometry
• Isotopy of symplectic balls, Gromov's radius and the structure of ruled symplectic 4-manifolds
• Symplectic submanifolds and almost-complex geometry
• Counting pseudo-holomorphic submanifolds in dimension 4
• Uniqueness of symplectic canonical class, surface cone and symplectic cone of 4-manifolds with \(B^+=1\)
• The genus of embedded surfaces in the projective plane
• The Seiberg-Witten and Gromov invariants
• General wall crossing formula
• The relative symplectic cone and \(T^2\)-fibrations
• Exact Lagrangians in \(A_n\)-surface singularities
• Spherical Lagrangians via ball packings and symplectic cutting
• J-Holomorphic Curves in a Nef Class
• From symplectic deformation to isotopy
• Lectures on Gromov invariants for symplectic 4-manifolds
• Singular Polarizations and Ellipsoid Packings
• Symplectic embeddings of 4-dimensional ellipsoids

This page was built for publication: Nongeneric \(J\)-holomorphic curves and singular inflation