Elementary spectral invariants and quantitative closing lemmas for contact three-manifolds

DOI10.3934/jmd.2024017MaRDI QIDQ6632081

Michael R. Hutchings

Publication date: 4 November 2024

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

zbMATH Keywords

contact manifoldsspectral invariantsclosing lemmas

Mathematics Subject Classification ID

Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Symplectic field theory; contact homology (53D42)

Cites Work

• Unnamed Item
• Proof of the Arnold chord conjecture in three dimensions. II
• Embedded contact homology and Seiberg-Witten Floer cohomology. I.
• Embedded contact homology and Seiberg-Witten Floer cohomology. V.
• Quantitative embedded contact homology
• Dense existence of periodic Reeb orbits and ECH spectral invariants
• Pseudo holomorphic curves in symplectic manifolds
• Symplectic capacities from positive \(S^1\)-equivariant symplectic homology
• Torsion contact forms in three dimensions have two or infinitely many Reeb orbits
• The Seiberg-Witten equations and the Weinstein conjecture
• The asymptotics of ECH capacities
• Symplectic embeddings into four-dimensional concave toric domains
• Lecture Notes on Embedded Contact Homology
• An Introduction to Contact Topology
• The Closing Lemma
• Taubes’s proof of the Weinstein conjecture in dimension three
• Symplectic packing constructions
• Symplectic capacities, unperturbed curves, and convex toric domains
• Contact homology and higher dimensional closing lemmas
• Strong closing property of contact forms and action selecting functors

This page was built for publication: Elementary spectral invariants and quantitative closing lemmas for contact three-manifolds