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Genus zero open-closed mirror symmetry for toric Calabi–Yau $3$-orbifolds

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Melissa Liu
Columbia University
Mon, 29/07/2019 - 16:30 - 17:20
MPIM Lecture Hall

We study genus zero open-closed orbifold Gromov–Witten invariants counting holomorphic disks in a symplectic toric Calabi–Yau 3-orbifolds with boundary in Lagrangians of Aganagic–Vafa type. I will describe an open mirror theorem which expresses generating functions of orbifold disk invariants in terms of Abel–Jacobi maps of the mirror curve, based on joint work with Bohan Fang and Hsian-Hua Tseng. This generalizes the open mirror theorem for symplectic toric Calabi–Yau 3-manifolds conjectured by Aganagic–Vafa, Aganagic–Klemm–Vafa and proved in joint work with Fang.

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