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 …

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 …

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

Let $ L\subset Y $ be a Legendrian submanifold of a contact manifold, $ S\subset L $ a
framed embedded sphere bounding an isotropic disc $ D_S\subset Y\setminus L $, and use …

We prove that the minimum number of critical points of a Weinstein Morse function on a
Weinstein domain of dimension at least six is at most two more than the minimum number of …

Given an augmentation for a Legendrian surface in a 1-jet space, Λ ⊂ J^ 1 (M) Λ⊂ J 1 (M),
we explicitly construct an object, F ∈ Sh^ ∙ _ Λ (M * R, K) F∈ Sh Λ∙(M× R, K), of the (derived) …

We show how to orient moduli spaces of holomorphic disks with boundary on an exact
Lagrangian immersion of a spin manifold into complex n-space in a coherent manner. This …

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

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) …

This paper is concerned with Floer cohomology of manifolds with contact type boundary. In
this case, there is no conjecture on this ring, as opposed to the compact case, where it is …