Orderability and the Weinstein conjecture

DOI10.1112/S0010437X15007642zbMath1333.37101arXiv1310.0786OpenAlexW3098647323WikidataQ123325762 ScholiaQ123325762MaRDI QIDQ2786461

Will J. Merry, Urs Fuchs, Peter Albers

Publication date: 12 February 2016

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0786

zbMATH Keywords

contact structuresorderabilityFloer cohomologyWeinstein conjecturehypertight contact structures

Mathematics Subject Classification ID

Contact manifolds (general theory) (53D10) Symplectic aspects of Floer homology and cohomology (53D40) Symplectic field theory; contact homology (53D42) Contact systems (37J55)

Related Items (12)

A note on Lagrangian intersections and Legendrian cobordism ⋮ Translated points on hypertight contact manifolds ⋮ Bi-invariant metrics on the contactomorphism groups ⋮ Computing the Rabinowitz Floer homology of tentacular hyperboloids ⋮ Positive loops and \(L^{\infty}\)-contact systolic inequalities ⋮ Analysis of contact Cauchy–Riemann maps III: Energy, bubbling and Fredholm theory ⋮ Rigid constellations of closed Reeb orbits ⋮ An Energy–Capacity inequality for Legendrian submanifolds ⋮ Symplectic homology and the Eilenberg-Steenrod axioms ⋮ Cuplength estimates in Morse cohomology ⋮ On the minimal number of translated points in contact lens spaces ⋮ Positive Legendrian isotopies and Floer theory

Cites Work

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• Target-local Gromov compactness
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• Geometry of contact transformations and domains: orderability versus squeezing
• Compactness for punctured holomorphic curves
• A Floer homology for exact contact embeddings
• Filling Riemannian manifolds
• On the hypotheses of Rabinowitz' periodic orbit theorems
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• Compactness results in symplectic field theory
• On the action spectrum for closed symplectically aspherical manifolds
• Lagrangian intersections in contact geometry
• A Morse estimate for translated points of contactomorphisms of spheres and projective spaces
• ON ITERATED TRANSLATED POINTS FOR CONTACTOMORPHISMS OF ℝ²ⁿ⁺¹ AND ℝ²ⁿ × S¹
• LEAF-WISE INTERSECTIONS AND RABINOWITZ FLOER HOMOLOGY
• Finite energy cylinders of small area
• An Introduction to Contact Topology
• Taubes’s proof of the Weinstein conjecture in dimension three
• Partially ordered groups and geometry of contact transformations

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