Consider a pair (X, L) of a Weinstein manifold X with an exact Lagrangian submanifold L,
with ideal contact boundary (Y, Λ), where Y is a contact manifold and Λ⊂ Y is a Legendrian …

In this paper, we construct an A_∞-category associated to a Legendrian submanifold of a jet
space. Objects of the category are augmentations of the Chekanov algebra A(Λ) and the …

We introduce constructions of exact Lagrangian cobordisms with cylindrical Legendrian
ends and study their invariants which arise from Symplectic Field Theory. A pair (X, L) …

Let $ X $ be a Weinstein manifold with ideal contact boundary $ Y $. If $\Lambda\subset Y $
is a link of Legendrian spheres in $ Y $ then by attaching Weinstein handles to $ X $ along …

In this article we define intersection Floer homology for exact Lagrangian cobordisms
between Legendrian submanifolds in the contactisation of a Liouville manifold, provided that …

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 …

arXiv:1811.10966v5 [math.SG] 20 Apr 2023 Page 1 LEGENDRIAN CONTACT HOMOLOGY IN
R3 JOHN B. ETNYRE AND LENHARD L. NG Abstract. This is an introduction to Legendrian …

We establish a long exact sequence for Legendrian submanifolds L⊂ P× R, where P is an
exact symplectic manifold, which admit a Hamiltonian isotopy that displaces the projection of …

The technique of generating families produces obstructions to the existence of embedded
Lagrangian cobordisms between Legendrian submanifolds in the symplectizations of 1–jet …

We define Hamiltonian simplex differential graded algebras (DGA) with differentials that
deform the high-energy symplectic homology differential and wrapped Floer homology …