Symplectic embeddings into four-dimensional concave toric domains

DOI10.1112/jtopol/jtu008zbMath1308.53125arXiv1310.6647OpenAlexW2155928071MaRDI QIDQ2934810

Keon Choi, David Frenkel, Michael Hutchings, Daniel Cristofaro-Gardiner, Vinicius Gripp Barros Ramos

Publication date: 22 December 2014

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.6647

zbMATH Keywords

ball packingsymplectic embeddingembedded contact homology (ECH)concave toric domain

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Embeddings in differential topology (57R40) Symplectic field theory; contact homology (53D42)

Related Items (17)

Full ellipsoid embeddings and toric mutations ⋮ Symplectic capacities from positive \(S^1\)-equivariant symplectic homology ⋮ Examples around the strong Viterbo conjecture ⋮ Symplectic embeddings of the ℓp-sum of two discs ⋮ Higher symplectic capacities and the stabilized embedding problem for integral elllipsoids ⋮ ECH capacities and the Ruelle invariant ⋮ Some optimal embeddings of symplectic ellipsoids ⋮ Symplectic embeddings into disk cotangent bundles ⋮ Towers of Looijenga pairs and asymptotics of ECH capacities ⋮ Proof of the simplicity conjecture ⋮ Newton–Okounkov bodies and symplectic embeddings into nontoric rational surfaces ⋮ Symplectic embeddings of four-dimensional polydisks into balls ⋮ Remarks about the \(C^{\infty }\)-closing lemma for 3-dimensional Reeb flows ⋮ Algebraic capacities ⋮ Symplectic embeddings of four-dimensional polydisks into half integer ellipsoids ⋮ Special eccentricities of rational four-dimensional ellipsoids ⋮ The Stark problem as a concave toric domain

Cites Work

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• Symplectic embeddings of \(4\)-dim ellipsoids into cubes
• Proof of the Arnold chord conjecture in three dimensions. II
• The embedding capacity of 4-dimensional symplectic ellipsoids
• Embedded contact homology and Seiberg-Witten Floer cohomology. I.
• The Hofer conjecture on embedding symplectic ellipsoids
• Quantitative embedded contact homology
• Gluing pseudoholomorphic curves along branched covered cylinders. II.
• Rounding corners of polygons and the embedded contact homology of \(T^3\)
• The embedded contact homology index revisited
• Recent progress on symplectic embedding problems in four dimensions
• Symplectic packing constructions
• Symplectic embeddings of polydisks
• From one Reeb orbit to two

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