Toric Deligne-Mumford stacks and the better behaved version of the GKZ hypergeometric system
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 β ∈ N C. As an application, we construct a topological mirror symmetry map that produces a complete system of --series solutions to the better behaved version of the GKZ hypergeometric system for β ∈ N C.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.