Abstract Let Λ±Λ_± be Legendrian submanifolds in the cosphere bundle T∗,∞ MT^*,∞M.
Given a Lagrangian cobordism LL of Legendrians from Λ− Λ_- to Λ+ Λ_+, we construct a …

For an oriented manifold $ M $ and a compact subanalytic Legendrian $\Lambda\subseteq
S^* M $, we construct a canonical strong smooth relative Calabi--Yau structure on the …

We introduce a type of surgery decomposition of Weinstein manifolds that we call simplicial
decompositions. The main result of this paper is that the Chekanov–Eliashberg dg‐algebra …

We define a refined Gromov-Witten disk potential of self-transverse monotone immersed
Lagrangian surfaces in a symplectic 4-manifold as an element in a capped version of the …

We show: the Floer homology of (nonexact!) integral Lagrangians in an (nonexact!) integral
symplectic manifold can be computed in terms of exact Lagrangians in an exact filling of the …

We define a refined Gromov–Witten disk potential of monotone immersed Lagrangian
surfaces in a symplectic 4‑manifold that are self-transverse as an element in a capped …

Knot contact homology is an ambient isotopy invariant of knots and links in ℝ 3. The purpose
of this paper is to extend this definition to an ambient isotopy invariant of tangles and prove …

We associate to a quiver and a subquiver $(Q, F) $ a stopped Weinstein manifold $ X $
whose Legendrian attaching link is a singular Legendrian unknot link $\varLambda $. We …

We study the relations between an exact Lagrangian submanifold L in a Liouville manifold P
and one of its Legendrian lift in the circular contactization S1× P. Unlike the well-studied …

The Chekanov-Eliashberg dg-algebra is an algebraic invariant of Legendrian submanifolds
of contact manifolds, whose definition recently has been extended to singular Legendrians …