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A Mirror Theorem for Toric Stacks

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arxiv 1310.4163 v5 pith:VYFBLE3N submitted 2013-10-15 math.AG

Tom Coates , Alessio Corti , Hiroshi Iritani , Hsian-Hua Tseng This is my paper · ORCID
classification math.AG
keywords mirrorstackstheoremtoriccalledchen--ruancohomologydeligne--mumford
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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.

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  1. Non-commutative resolutions and pre-quotients of Calabi-Yau double covers

    hep-th 2025-07 conditional novelty 7.0 of 10

    A-periods of non-commutative resolutions of Calabi-Yau double covers satisfy the same GKZ system as those of an explicitly constructed smooth complete intersection.

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