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29 March 2024
 
  » arxiv » 1205.0025

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Toric Deligne-Mumford stacks and the better behaved version of the GKZ hypergeometric system
R. Paul Horja ;
Date 30 Apr 2012
AbstractWe 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 $eta in N otimes {mathbb C}.$ 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 $eta in N otimes {mathbb C}.$
Source arXiv, 1205.0025
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