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arXiv · 1205.0025

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

R. Paul Horja
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Abstract

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 $\beta \in N \otimes {\mathbb C}.$

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R. Paul Horja. 2012-04-30. Toric Deligne-Mumford stacks and the better behaved version of the GKZ hypergeometric system. https://doi.org/10.1142/9789814412551_0016

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