Heather Lee

collaborators

3 papers

math.SG2025

Global SYZ mirror symmetry and homological mirror symmetry for principally polarized abelian varieties

Haniya Azam, Catherine Cannizzo, Heather Lee +1

For any positive integer $g$ , we introduce the moduli space $A_{g}^{F} = [H_{g} / P_{g} (Z)]$ parametrizing $g$ -dimensional principally polarized abelian varieties…

math.SG2023

On fiber and base decompositions in the Fukaya category of a symplectic Landau-Ginzburg model

Haniya Azam, Catherine Cannizzo, Heather Lee +1

In mirror symmetry, symplectic Landau-Ginzburg models are mirror to a large class of examples, in particular to Fano varieties and hypersurfaces of many Calabi-Yau and Fano varieti…

math.SG2023

Fukaya category on a symplectic manifold with a B-field

Haniya Azam, Catherine Cannizzo, Heather Lee +1

We describe the formulation of Fukaya categories of symplectic manifolds with $B$ -fields. In addition, we give a formula for how the $A_{\infty}$ structure maps change as we deform a…