Contact homology and virtual fundamental cycles
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Publication:5227287
DOI10.1090/jams/924zbMath1422.53071arXiv1508.03873OpenAlexW1939908297WikidataQ128093217 ScholiaQ128093217MaRDI QIDQ5227287
Publication date: 25 July 2019
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.03873
Reeb orbitcontact homologypseudo-holomorphic curveGromov topologyvirtual fundamental classmoduli of pseudo-holomoorphic curve
Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Categories in geometry and topology (18F99) Families, moduli of curves (analytic) (14H15) Symplectic field theory; contact homology (53D42)
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Legendrian persistence modules and dynamics ⋮ A generalization of manifolds with corners ⋮ Higher symplectic capacities and the stabilized embedding problem for integral elllipsoids ⋮ Essential tori in spaces of symplectic embeddings ⋮ Coherent orientations in symplectic field theory revisited ⋮ S1$S^1$‐equivariant contact homology for hypertight contact forms ⋮ Counting curves with local tangency constraints ⋮ Homological invariants of codimension 2 contact submanifolds ⋮ Floer cohomology, singularities, and birational geometry ⋮ A characterization of heaviness in terms of relative symplectic cohomology ⋮ Semi-global Kuranishi charts and the definition of contact homology ⋮ Combinatorial Reeb dynamics on punctured contact 3-manifolds ⋮ \(A_{\infty}\)-category of Lagrangian cobordisms in the symplectization of \(P\times \mathbb{R}\) ⋮ Contact invariants of \(\mathbb{Q}\)-Gorenstein toric contact manifolds, the Ehrhart polynomial and Chen-Ruan cohomology ⋮ Filtering the Heegaard Floer contact invariant ⋮ Bordered Heegaard Floer homology ⋮ Multiplicity of periodic orbits for dynamically convex contact forms ⋮ Floer homologies, with applications ⋮ Mayer-Vietoris property for relative symplectic cohomology ⋮ On properties of Bourgeois contact structures ⋮ Contact manifolds with flexible fillings ⋮ Orbit growth of contact structures after surgery ⋮ Positive Legendrian isotopies and Floer theory
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