3 papers
math.SG2025
Microsheaf composition of Lagrangian correspondences
Wenyuan Li, David Nadler, Vivek Shende
In exact symplectic manifolds whose Liouville flow is gradientlike for a proper Morse function, one can associate conic microsheaves to eventually conic exact Lagrangians. Here we…
math.SG2025
Decompositions of augmentation varieties via weaves and rulings
Johan Asplund, Orsola Capovilla-Searle, James Hughes +3
The braid variety of a positive braid and the augmentation variety of a Legendrian link both admit decompositions coming from weaves and rulings, respectively. We prove that these…
math.SG2024
Positive microlocal holonomies are globally regular
Roger Casals, Wenyuan Li
We establish a geometric criterion for local microlocal holonomies to be globally regular on the moduli space of Lagrangian fillings. This local-to-global regularity result holds f…