1205.0025 (R. Paul Horja)

Toric Deligne-Mumford stacks and the better behaved version of the GKZ
hypergeometric system    [PDF]

R. Paul Horja

We generalize the combinatorial description of the orbifold (Chen--Ruan) cohomology and of the Grothendieck ring of a Deligne--Mumford toric stack and its associated stacky fan in a lattice $N$ in the presence of a deformation parameter $\beta \in N \otimes {\mathbb C}.$ As an application, we construct a topological mirror symmetry map that produces a complete system of $\Gamma$--series solutions to the better behaved version of the GKZ hypergeometric system for $\beta \in N \otimes {\mathbb C}.$

View original: http://arxiv.org/abs/1205.0025