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) …

We study the unwrapped Fukaya category of Lagrangian branes ending on a Legendrian
knot. Our knots live at contact infinity in the cotangent bundle of a surface, the Fukaya …

We introduce and compute a 2-parameter family deformation of the A-polynomial that
encodes the color dependence of the superpolynomial and that, in suitable limits, reduces to …

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 …

" Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …

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 show that the ungraded ruling invariants of a Legendrian link can be realized as certain
coefficients of the Kauffman polynomial which are nonvanishing if and only if the upper …

We develop a close relation between satellites of Legendrian knots in ℝ 3 and the
Chekanov–Eliashberg differential graded algebra of the knot. In particular, we generalize …

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 …

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