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Intrinsic mirror symmetry and Frobenius structure theorem via Gromov-Witten theory of root stacks

Intrinsic mirror symmetry and Frobenius structure theorem via Gromov-Witten theory of root stacks

Using recent results of Battistella, Nabijou, Ranganathan and the author, we compare candidate mirror algebras associated with certain log Calabi-Yau pairs constructed by Gross-Siebert using log Gromov-Witten theory and Tseng-You using orbifold Gromov- Witten theory of root stacks. Although the structure constants used to defined these mirror algebras do not …