4 papers
Monodromy action of mirror stops for toric Calabi-Yau surfaces
Michela Barbieri, Andrew Hanlon, Jeff Hicks
Mirror symmetry predicts an action by the fundamental group of a conjectural stringy Kähler moduli space on the derived category of an algebraic variety. For a toric variety, a mo…
King's Conjecture and the Cox category
Matthew R. Ballard, Christine Berkesch, Michael K. Brown +6
We state and prove a realization of King's Conjecture for a category glued from the derived categories of all of the toric varieties arising from a given Cox ring. Our perspective…
Homological mirror symmetry for Batyrev mirror pairs
Sheel Ganatra, Andrew Hanlon, Jeff Hicks +2
We prove Kontsevich's homological mirror symmetry conjecture for a large class of mirror pairs of Calabi--Yau hypersurfaces in toric varieties. These mirror pairs were constructed…
A short computation of the Rouquier dimension for a cycle of projective lines
Andrew Hanlon, Jeff Hicks
Given a dg category , we introduce a new class of objects (weakly product bimodules) in generalizing product bimodules. We show that…