36 citations · 62 across the 12 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…
Homological mirror symmetry at large volume
Benjamin Gammage, Vivek Shende
A typical large complex-structure limit for mirror symmetry consists of toric varieties glued to each other along their toric boundaries. Here we construct the mirror large volume…
Mirror Symmetry for Truncated Cluster Varieties
Benjamin Gammage, Ian Le
In the algebraic setting, cluster varieties were reformulated by Gross-Hacking-Keel as log Calabi-Yau varieties admitting a toric model. Building on work of Shende-Treumann-William…
Mirror symmetry for Berglund-Hübsch Milnor fibers
Benjamin Gammage
We explain how to calculate the Fukaya category of the Milnor fiber of a Berglund-Hübsch invertible polynomial, mostly proving a conjecture of Yankı Lekili and Kazushi Ueda on homo…
Homological mirror symmetry for hypertoric varieties II (with an Appendix written jointly with Laurent Côté and Justin Hilburn)
Benjamin Gammage, Michael McBreen, Ben Webster
In this paper, we prove a homological mirror symmetry equivalence for pairs of multiplicative hypertoric varieties, and we calculate monodromy autoequivalences of these categories…
Mirror symmetry for very affine hypersurfaces
Benjamin Gammage, Vivek Shende
We show that the category of coherent sheaves on the toric boundary divisor of a smooth quasiprojective toric DM stack is equivalent to the wrapped Fukaya category of a hypersurfac…
Mirror symmetry for honeycombs
Benjamin Gammage, David Nadler
We prove a homological mirror symmetry equivalence between an -brane category for the pair of pants, computed as a wrapped microlocal sheaf category, and a -brane category fo…