3 papers
math.SG2026
Special Lagrangians and Bridgeland stable objects beyond geometric stability conditions: the product case
Yu-Wei Fan
We construct a family of non-geometric Bridgeland stability conditions on certain wrapped Fukaya categories, using homological mirror symmetry and categorical Künneth formulae. Th…
math.AG2026
Mirror symmetry for lattice-polarized abelian surfaces
Yu-Wei Fan, Kuan-Wen Lai
Inspired by the Dolgachev-Nikulin-Pinkham mirror symmetry for lattice-polarized K3 surfaces, we study its analogue for abelian surfaces. In this paper, we introduce lattice-polariz…
math.AG2025
A space of stability conditions that is not a length space
Yu-Wei Fan
We prove that the space of Bridgeland stability conditions, when equipped with the canonical metric, is not a length space in general. This resolves a question posed by Kikuta in t…