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arXiv · 2204.12483

Topological Fukaya category and mirror symmetry for toric Calabi-Yau 3-orbifolds

Qingyuan Bai·Bohan Fang
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Abstract

We prove a version of homological mirror symmetry statement for toric Calabi-Yau $3$-orbifolds, thus extending arXiv:1604.06448 to the case of orbifolds under the mirror symmetry setting considered in arXiv:1604.07123. The B-model is the matrix factorization category for the toric Calabi-Yau $3$-orbifold with a superpotential; while the A-model is a topologically defined Fukaya-type category on its mirror curve.

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Qingyuan Bai, Bohan Fang. 2022-04-26. Topological Fukaya category and mirror symmetry for toric Calabi-Yau 3-orbifolds. https://arxiv.org/abs/2204.12483

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