The Nadler--Zaslow correspondence famously identifies the finite-dimensional Floer
homology groups between Lagrangians in cotangent bundles with the finite-dimensional …

Many interesting spaces—including all positroid strata and wild character varieties—are
moduli of constructible sheaves on a surface with microsupport in a Legendrian link. We …

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 …

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 …

arXiv:2007.10154v3 [math.SG] 31 Dec 2022 Page 1 arXiv:2007.10154v3 [math.SG] 31 Dec
2022 SHEAF QUANTIZATION IN WEINSTEIN SYMPLECTIC MANIFOLDS DAVID NADLER …

We prove that all maximal-tb positive Legendrian torus links (n,m) in the standard contact 3-
sphere, except for (2,m), (3,3), (3,4) and (3,5), admit infinitely many Lagrangian fillings in the …

We study a class of Legendrian surfaces in contact five-folds by encoding their wavefronts
via planar combinatorial structures. We refer to these surfaces as Legendrian weaves, and …

We present the first examples of elements in the fundamental group of the space of
Legendrian links in (S 3, ξ st) (S^3,ξ_st) whose action on the Legendrian contact DGA is of …

We investigate positive braid Legendrian links via a Floer-theoretic approach and prove that
their augmentation varieties are cluster K2 (aka. A-) varieties. Using the exact Lagrangian …

In this manuscript we study braid varieties, a class of affine algebraic varieties associated to
positive braids. Several geometric constructions are presented, including certain torus …