3 papers
math.RT2025
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…
math.RT2025
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…
math.SG2025
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…