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We study Gauss-Manin systems of non tame Laurent polynomial functions. Wefocuse on Hori-Vafa models, which are the expected mirror partners of the smallquantum cohomology of smooth hypersurfaces in weighted projective spaces.

Gauss-Manin systems of wild regular functions: Givental-Hori-Vafa models of smooth hypersurfaces in weighted projective spaces as an example