8 citations · 17 across the 8 of their papers we have counts for
12 papers
Hypertoric Fukaya categories and categories O
Laurent Côté, Benjamin Gammage, Justin Hilburn
To a conical symplectic resolution with Hamiltonian torus action, Braden--Proudfoot--Licata--Webster associate a category O, defined using deformation quantization (DQ) modules. It…
Hypertoric 2-categories O and symplectic duality
Benjamin Gammage, Justin Hilburn
We define 2-categories of microlocal perverse (resp. coherent) sheaves of categories on the skeleton of a hypertoric variety and show that the generators of these 2-categories lift…
Betti Tate's thesis and the trace of perverse schobers
Benjamin Gammage, Justin Hilburn
We propose a conjecture on the categorical trace of the 2-category of perverse schobers (expected to model the Fukaya-Fueter 2-category of a holomorphic symplectic space). By provi…
Homological mirror symmetry for functors between Fukaya categories of very affine hypersurfaces
Benjamin Gammage, Maxim Jeffs
We prove that homological mirror symmetry for very affine hypersurfaces respects certain natural symplectic operations (as functors between partially wrapped Fukaya categories), ve…
Perverse schobers and 3d mirror symmetry
Benjamin Gammage, Justin Hilburn, Aaron Mazel-Gee
The proposed physical duality known as 3d mirror symmetry relates the geometries of dual pairs of holomorphic symplectic stacks. It has served in recent years as a guiding principl…
Local mirror symmetry via SYZ
Benjamin Gammage
In this note, we explain how mirror symmetry for basic local models in the Gross-Siebert program can be understood through the non-toric blowup construction described by Gross-Hack…