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 , we introduce the moduli space parametrizing -dimensional principally polarized abelian varieties…
math.SG2021
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 (…
math.GT2019
Fukaya category of surfaces and mapping class group action
Haniya Azam, Christian Blanchet
We construct the Fukaya category of a surface with genus greater than one and compute its Grothendieck group. We consider here a topological variant, in which we disregard the area…