activity
20232025
most citedOn the Hochschild cohomology of Tamarkin categories

2 citations · 2 across the 9 of their papers we have counts for

collaborators

9 papers

math.SG2025

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…

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.AT2025

Operadic twisting as an adjunction

Guillaume Laplante-Anfossi, Adrian Petr, Vivek Shende

For operads with a map from the curved homotopy Lie operad, we introduce a corresponding curved variant `cTw' of Willwacher's operadic twisting comonad `Tw'. We show that cTw-coalg…

math.AT2024

A universal characterization of the curved homotopy Lie and associative operads

Guillaume Laplante-Anfossi, Adrian Petr, Vivek Shende

We study the category of nonsymmetric dg operads valued in strict graded-mixed complexes, equipped with a distinguished arity zero weight one element which generates the weight gra…

math.SG2024

Toric mirror monodromies and Lagrangian spheres

Vivek Shende

The central fiber of a Gross-Siebert type toric degeneration is known to satisfy homological mirror symmetry: its category of coherent sheaves is equivalent to the wrapped Fukaya c…

math.SG2024

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,…

math.SG2024

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…

math.SG2023★ 2 cited

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…

math.SG2023

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…