6 citations · 6 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
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 (…
Categorical mirror symmetry on cohomology for a complex genus 2 curve
Catherine Cannizzo
Motivated by observations in physics, mirror symmetry is the concept that certain manifolds come in pairs and such that the complex geometry on mirrors the symplectic g…