Rational SFT, linearized Legendrian contact homology, and Lagrangian Floer cohomology
T Ekholm - Perspectives in Analysis, Geometry, and Topology: On …, 2011 - Springer
We relate the version of rational symplectic field theory for exact Lagrangian cobordisms
introduced in 6 to linearized Legendrian contact homology. More precisely, if L⊂ X is an
exact Lagrangian submanifold of an exact symplectic manifold with convex end Λ⊂ Y,
where Y is a contact manifold and Λ is a Legendrian submanifold, and if L has empty
concave end, then the linearized Legendrian contact cohomology of Λ, linearized with
respect to the augmentation induced by L, equals the rational SFT of (X, L). Following ideas …
introduced in 6 to linearized Legendrian contact homology. More precisely, if L⊂ X is an
exact Lagrangian submanifold of an exact symplectic manifold with convex end Λ⊂ Y,
where Y is a contact manifold and Λ is a Legendrian submanifold, and if L has empty
concave end, then the linearized Legendrian contact cohomology of Λ, linearized with
respect to the augmentation induced by L, equals the rational SFT of (X, L). Following ideas …
[PDF][PDF] Rational SFT, Linearized Legendrian Contact
T Ekholm - www-fourier.ujf-grenoble.fr
We relate the version of rational symplectic field theory for exact 6 Lagrangian cobordisms
introduced in [6] to linearized Legendrian contact homol-7 ogy. More precisely, if L⊂ X is an
exact Lagrangian submanifold of an exact 8 symplectic manifold with convex end Λ⊂ Y,
where Y is a contact manifold and 9 Λ is a Legendrian submanifold, and if L has empty
concave end, then the linearized 10 Legendrian contact cohomology of Λ, linearized with
respect to the augmentation 11 induced by L, equals the rational SFT of (X, L). Following …
introduced in [6] to linearized Legendrian contact homol-7 ogy. More precisely, if L⊂ X is an
exact Lagrangian submanifold of an exact 8 symplectic manifold with convex end Λ⊂ Y,
where Y is a contact manifold and 9 Λ is a Legendrian submanifold, and if L has empty
concave end, then the linearized 10 Legendrian contact cohomology of Λ, linearized with
respect to the augmentation 11 induced by L, equals the rational SFT of (X, L). Following …
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