3 papers
math.SG2025
Semi-orthogonality in Fukaya-Seidel mirrors to blowups of abelian varieties
Catherine Cannizzo, Sara Venkatesh
We prove evidence of Kontsevich's homological mirror symmetry conjecture (HMS) for a blow-up of an abelian surface times the complex plane, on the complex side, and its symplectic…
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 (…