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

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

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

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 …

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) …

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 …

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 construct absolute and relative versions of Hamiltonian Floer homology algebras for
strongly semi-positive compact symplectic manifolds with convex boundary, where the ring …

we find a minimal differential graded (dg) operad whose generic representations in which
satisfy the nijenhuis integrability condition. this operad is of a surprisingly simple origin: it is …

For any Legendrian knot or link in R 3, we construct an L∞ algebra that can be viewed as an
extension of the Chekanov–Eliashberg differential graded algebra. The L∞ structure …