5 papers
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…
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…
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…
Relative Calabi-Yau structure on microlocalization
Christopher Kuo, Wenyuan Li
For an oriented manifold and a compact subanalytic Legendrian , we construct a canonical strong smooth relative Calabi--Yau structure on the microlocalization…
Duality and kernels in microlocal geometry
Christopher Kuo, Wenyuan Li
We study the dualizability of sheaves on manifolds with isotropic singular supports and microsheaves with isotropic supports and…