The Chekanov-Eliashberg dg-algebra is a holomorphic curve invariant associated to
Legendrian submanifolds of a contact manifold. We extend the definition to Legendrian …

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 …

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 …

Loose Legendrian-submanifolds,, were introduced by Murphy ('Loose Legendrian
embeddings in high dimensional contact manifolds', Preprint, 2012, arXiv: 1201.2245) and …

Legendrian contact homology in R3 Page 1 Surveys in Differential Geometry XXV
Legendrian contact homology in R3 John B. Etnyre and Lenhard L. Ng Abstract. This is an …

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 …

For $1 $-dimensional Legendrian submanifolds of $1 $-jet spaces, we extend the
functorality of the Legendrian contact homology DG-algebra (DGA) from embedded exact …

We establish tools to facilitate the computation and application of the Chekanov–Eliashberg
differential graded algebra (DGA), a Legendrian-isotopy invariant of Legendrian knots and …

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

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) …