ECH capacities and the Ruelle invariant

DOI10.1007/978-3-031-19111-4_24zbMATH Open1548.53092MaRDI QIDQ6601749

Michael R. Hutchings

Publication date: 11 September 2024

zbMATH Keywords

Reeb flowsymplectic four-manifoldRuelle invariant

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41) Symplectic structures in 4 dimensions (57K43)

Cites Work

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• Beyond ECH capacities
• The embedding capacity of 4-dimensional symplectic ellipsoids
• The Hofer conjecture on embedding symplectic ellipsoids
• Quantitative embedded contact homology
• A \({C^\infty}\) closing lemma for Hamiltonian diffeomorphisms of closed surfaces
• Dense existence of periodic Reeb orbits and ECH spectral invariants
• The isoperimetric theorem for general integrands
• Asymptotic links
• Mean action and the Calabi invariant
• Sharp systolic inequalities for Reeb flows on the three-sphere
• Irrational triangles with polynomial Ehrhart functions
• Sub-leading asymptotics of ECH capacities
• ECH capacities, Ehrhart theory, and toric varieties
• An estimate on energy of min-max Seiberg-Witten Floer generators
• Equidistributed periodic orbits of \(C^\infty\)-generic three-dimensional Reeb flows
• Torsion contact forms in three dimensions have two or infinitely many Reeb orbits
• Symplectic embeddings from concave toric domains into convex ones
• The asymptotics of ECH capacities
• Symplectic embeddings into four-dimensional concave toric domains
• Lecture Notes on Embedded Contact Homology
• Systolic ratio, index of closed orbits and convexity for tight contact forms on the three-sphere
• On the asymptotic linking number
• An Introduction to Contact Topology
• Mean action of periodic orbits of area-preserving annulus diffeomorphisms
• From one Reeb orbit to two

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