Rational symplectic field theory over \(\mathbb Z_{2}\) for exact Lagrangian cobordisms

DOI10.4171/JEMS/126zbMath1154.57020arXivmath/0612029MaRDI QIDQ936152

Tobias Ekholm

Publication date: 13 August 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612029

zbMATH Keywords

holomorphic curveLagrangian submanifoldLegendrian submanifoldsymplectic field theorysymplectic cobordism

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58)

Related Items (24)

Legendrian persistence modules and dynamics ⋮ Legendrian knots and exact Lagrangian cobordisms ⋮ The augmentation category map induced by exact Lagrangian cobordisms ⋮ Obstructions to Lagrangian cobordisms between Legendrians via generating families ⋮ Lagrangian concordance is not a symmetric relation ⋮ Lagrangian cobordism functor in microlocal sheaf theory I ⋮ Augmentations and immersed Lagrangian fillings ⋮ Duality between Lagrangian and Legendrian invariants ⋮ Combinatorial Reeb dynamics on punctured contact 3-manifolds ⋮ Effect of Legendrian surgery ⋮ A complete knot invariant from contact homology ⋮ Topological entropy for Reeb vector fields in dimension three via open book decompositions ⋮ Lagrangian cobordisms via generating families: construction and geography ⋮ A note on the front spinning construction ⋮ The minimal length of a Lagrangian cobordism between legendrians ⋮ Knot contact homology, string topology, and the cord algebra ⋮ On Legendrian products and twist spuns ⋮ A duality exact sequence for Legendrian contact homology ⋮ Positive Legendrian isotopies and Floer theory ⋮ Refined disk potentials for immersed Lagrangian surfaces ⋮ On Lagrangian embeddings of closed nonorientable 3-manifolds ⋮ Reeb orbits that force topological entropy ⋮ On topologically distinct infinite families of exact Lagrangian fillings ⋮ Symplectic and contact differential graded algebras

Cites Work

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• Invariants in contact topology
• Differential algebra of Legendrian links
• Compactness results in symplectic field theory
• Coherent orientations in symplectic field theory
• Knot contact homology
• Morse flow trees and Legendrian contact homology in 1-jet spaces
• Non-isotopic Legendrian submanifolds in \(\mathbb R^{2n+1}\)
• The contact homology of Legendrian submanifolds in \(\mathbb R^{2n+1}\)
• ORIENTATIONS IN LEGENDRIAN CONTACT HOMOLOGY AND EXACT LAGRANGIAN IMMERSIONS
• Legendrian contact homology in 𝑃×ℝ
• Cluster homology: An overview of the construction and results

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