5 citations · 9 across the 6 of their papers we have counts for
8 papers
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 (…
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…
The equivariant cohomology of weighted flag orbifolds
Haniya Azam, Shaheen Nazir, Muhammad Imran Qureshi
We describe the torus-equivariant cohomology of weighted partial flag orbifolds of type . We establish counterparts of several results known for the partial flag…
Representation theory for the Kriz model
Samia Ashraf, Haniya Azam, Barbu Berceanu
The natural action of the symmetric group on the configuration spaces F(X; n) induces an action on the Kriz model E(X; n). The represen- tation theory of this DGA is studied and a…
Representation stability of power sets and square free polynomials
Samia Ashraf, Haniya Azam, Barbu Berceanu
The symmetric group acts on the power set and also on the set of square free polynomials. These two related representations are analyzed from the stability point of view. An applic…