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Topological Fukaya category and mirror symmetry for toric Calabi-Yau 3-orbifolds (2204.12483v1)
Published 26 Apr 2022 in math.AT, math.AG, and math.SG
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.