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 …

Legendrian contact homology (LCH) is a powerful non-classical invariant of Legendrian
knots. Linearization makes the LCH computationally tractable at the expense of discarding …

We show that if a Legendrian knot in a standard contact space ℝ3 possesses a generating
family, then there exists an augmentation of the Chekanov–Eliashberg differential graded …

Let M be a circle bundle over a Riemann surface that supports a contact structure transverse
to the fibers. This paper presents a combinatorial definition of a differential graded algebra …

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 …

For any Legendrian link,, in we define invariants,, as normalized counts of augmentations
from the Legendrian contact homology differential graded algebra (DGA) of into a finite field …

We provide a translation between Chekanov's combinatorial theory for invariants of
Legendrian knows in the standard contact ℝ3 and Eliashberg and Hofer's contact homology …

We consider S 1–families of Legendrian knots in the standard contact ℝ R 3. We define the
monodromy of such a loop, which is an automorphism of the Chekanov–Eliashberg contact …

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) …

In this article, we define the notion of a Lagrangian concordance between two Legendrian
knots analogous to smooth concordance in the Legendrian context. We show that …