3 papers
math.SG2023
Relating categorical dimensions in topology and symplectic geometry
Andrew Hanlon, Jeff Hicks, Oleg Lazarev
We study several notions of dimension for (pre-)triangulated categories naturally arising from topology and symplectic geometry. We prove new bounds on these dimensions and raise s…
math.SG2020
Tropical Lagrangians in toric del-Pezzo surfaces
Jeff Hicks
We look at how one can construct from the data of a dimer model a Lagrangian submanifold in whose valuation projection approximates a tropical hypersurface. Each…
math.SG2019
Tropical Lagrangian Hypersurfaces are Unobstructed
Jeff Hicks
We produce for each tropical hypersurface a Lagrangian whose moment map projection is a tropical amoeba of . When…