4 papers · 1 filter
Global SYZ mirror symmetry and homological mirror symmetry for principally polarized abelian varieties
Haniya Azam, Catherine Cannizzo, Heather Lee +1
For any positive integer , we introduce the moduli space parametrizing -dimensional principally polarized abelian varieties…
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…
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 -fields. In addition, we give a formula for how the structure maps change as we deform a…
Action-angle and complex coordinates on toric manifolds
Haniya Azam, Catherine Cannizzo, Heather Lee
In this article, we provide an exposition about symplectic toric manifolds, which are symplectic manifolds equipped with an effective Hamiltonian $\mathbb{T}^n\cong (…