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@article{Coates:2020:jdg/1577502022,
author = {Coates, T and Corti, A and Iritani, H and Tseng, H-H},
doi = {jdg/1577502022},
journal = {Journal of Differential Geometry},
pages = {41--115},
title = {Hodge-theoretic mirror symmetry for toric stacks},
url = {http://dx.doi.org/10.4310/jdg/1577502022},
volume = {114},
year = {2020}
}

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TY  - JOUR
AB  - Using the mirror theorem [CCIT15], we give a Landau-Ginzburg mirrordescription for the big equivariant quantum cohomology of toric Deligne-Mumfordstacks. More precisely, we prove that the big equivariant quantum D-module of atoric Deligne-Mumford stack is isomorphic to the Saito structure associated tothe mirror Landau-Ginzburg potential. We give a GKZ-style presentation of thequantum D-module, and a combinatorial description of quantum cohomology as aquantum Stanley-Reisner ring. We establish the convergence of the mirrorisomorphism and of quantum cohomology in the big and equivariant setting.
AU  - Coates,T
AU  - Corti,A
AU  - Iritani,H
AU  - Tseng,H-H
DO  - jdg/1577502022
EP  - 115
PY  - 2020///
SN  - 1945-743X
SP  - 41
TI  - Hodge-theoretic mirror symmetry for toric stacks
T2  - Journal of Differential Geometry
UR  - http://dx.doi.org/10.4310/jdg/1577502022
UR  - http://arxiv.org/abs/1606.07254v1
UR  - http://hdl.handle.net/10044/1/50273
VL  - 114
ER  -

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