7 papers · 1 filter
On Fukaya categories and prequantization bundles
Tatsuki Kuwagaki, Adrian Petr, Vivek Shende
We show: the Floer homology over the Novikov ring of (nonexact!) rational Lagrangians in an (nonexact!) integral symplectic manifold can be computed in terms of exact Lagrangians i…
Skein-valued mirror curves for toric CY3 strips
Mingyuan Hu, Vivek Shende
For a smooth semi-projective toric Calabi-Yau 3-fold containing no compact surface, we show the count of all-genus holomorphic curves with boundary on a single Aganagic-Vafa brane…
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…
The microlocal Riemann-Hilbert correspondence for complex contact manifolds
Laurent Côté, Christopher Kuo, David Nadler +1
Kashiwara showed in 1996 that the categories of microlocalized D-modules can be canonically glued to give a sheaf of categories over a complex contact manifold. Much more recently,…
Adjoints, wrapping, and morphisms at infinity
Tatsuki Kuwagaki, Vivek Shende
For a localization of a smooth proper category along a subcategory preserved by the Serre functor, we show that morphisms in Efimov's algebraizable categorical formal punctured nei…
On the Hochschild cohomology of Tamarkin categories
Christopher Kuo, Vivek Shende, Bingyu Zhang
To any open subset of a cotangent bundle, Tamarkin has associated a certain quotient of a category of sheaves. Here we show that the Hochschild cohomology of this category agrees w…