4 papers
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…
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…
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…
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…