Asymptotic behavior for \(\mathcal{H}\)-holomorphic cylinders of small area

DOI10.1007/S11784-019-0735-6zbMath1425.53112arXiv1802.05573OpenAlexW2973707125MaRDI QIDQ2328673

Alexandru Doicu, Urs Fuchs

Publication date: 10 October 2019

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05573

zbMATH Keywords

moduli spacesd\(\alpha\)-energiesfinite energy \(\mathcal{H}\)-holomorphic cylindersgeneralized Weinstein conjecture

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Pseudoholomorphic curves (32Q65) Symplectic field theory; contact homology (53D42)

Related Items (1)

Global surfaces of Section with positive genus for dynamically convex Reeb flows

Cites Work

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• Holomorphic open book decompositions
• Compactness for punctured holomorphic curves
• Gromov's compactness theorem for pseudo-holomorphic curves
• Compactness results in symplectic field theory
• Properties of pseudoholomorphic curves in symplectisations. I: Asymptotics
• The Weinstein conjecture for planar contact structures in dimension three
• Manifolds with Boundary and of Bounded Geometry
• Finite energy cylinders of small area
• An Introduction to Compactness Results in Symplectic Field Theory

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