A Mirror Theorem for Toric Stacks

Abstract

We prove a Givental-style mirror theorem for toric Deligne--Mumford stacks X. This determines the genus-zero Gromov--Witten invariants of X in terms of an explicit hypergeometric function, called the I-function, that takes values in the Chen--Ruan orbifold cohomology of X.

35 pages. v2: key references added. v3: errors corrected; formal setup changed; proofs simplified, clarified, and shortened; references added. v4: references updated. v5: references updated

References in corpus (3)

• A Mirror Theorem for Toric Stacks
• Open orbifold Gromov-Witten invariants of [C^3/Z_n]: localization and mirror symmetry
• Orbifold Quasimap Theory

Cited by in corpus (37)

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• Laurent Inversion
• The Quantum Lefschetz Principle for Vector Bundles as a Map Between Givental Cones
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• A proof of the Landau-Ginzburg/Calabi-Yau correspondence via the crepant transformation conjecture
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• Local Calabi-Yau manifolds of type \tilde{A} via SYZ mirror symmetry
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• The Quantum Orbifold Cohomology of Toric Stack Bundles
• Gromov-Witten Invariants of Local P^2 and Modular Forms
• Categorical mirror symmetry on cohomology for a complex genus 2 curve
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• A Fock Sheaf For Givental Quantization
• Central charges of T-dual branes for toric varieties
• Orbifold Quasimap Theory
• Global Mirrors and Discrepant Transformations for Toric Deligne-Mumford Stacks
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• On the geometry of orbifold Gromov-Witten invariants
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