Pseudoholomorphic curves on the \(\mathfrak{LCS}\)-fication of contact manifolds

DOI10.1515/advgeom-2023-0004zbMath1520.53065arXiv2107.03551MaRDI QIDQ6168277

Yasha Savelyev, Yong-Geun Oh

Publication date: 10 July 2023

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03551

zbMATH Keywords

contact manifoldinstantonlocally conformal symplectic manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Contact manifolds (general theory) (53D10) Symplectic structures of moduli spaces (53D30) Pseudoholomorphic curves (32Q65)

Related Items

Locally conformally symplectic deformation of Gromov non-squeezing

Cites Work

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• Deformations of coisotropic submanifolds in locally conformal symplectic manifolds
• Nonsqueezing property of contact balls
• Holomorphic open book decompositions
• Some properties of locally conformal symplectic structures
• On nonseparating contact hypersurfaces in symplectic 4-manifolds
• Locally conformal symplectic manifolds
• On the group of diffeomorphisms preserving a locally conformal symplectic structure
• The existence of minimal immersions of 2-spheres
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• The Maslov index for paths
• Compactness results in symplectic field theory
• Analysis of contact Cauchy-Riemann maps. I: A priori \(C^k\) estimates and asymptotic convergence
• On locally conformal symplectic manifolds of the first kind
• Coherent orientations in symplectic field theory
• Examples of non \(d_{\omega}\)-exact locally conformal symplectic forms
• The Weinstein conjecture for planar contact structures in dimension three
• Contact non-squeezing at large scale in ℝ2n × S1
• ANALYSIS OF CONTACT CAUCHY–RIEMANN MAPS II: CANONICAL NEIGHBORHOODS AND EXPONENTIAL CONVERGENCE FOR THE MORSE–BOTT CASE
• The weinstein conjecture in the presence of holomorphic spheres
• Locally Conformally Symplectic Structures on Compact Non-Kähler Complex Surfaces
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
• Symplectic Topology and Floer Homology
• Canonical Connection on Contact Manifolds
• A Kind of Even-Dimensional Differential Geometry and Its Application to Exterior Calculus
• Analysis of contact Cauchy–Riemann maps III: Energy, bubbling and Fredholm theory