Lekili–Ueda's conjecture for complements of smooth ample divisors
Lekili–Ueda's conjecture for complements of smooth ample divisors
Let be a compact Calabi–Yau manifold, and let be a smooth ample divisor. Set , which is a Weinstein manifold. Let be the graded wrapped Fukaya category and let be the subcategory generated by objects supported on compact Lagrangians. Lekili–Ueda's conjecture. There is an equivalence
This predicts that the Fukaya category of the ample divisor is recovered from the wrapped category of its complement after quotienting compactly supported objects; it is presented as a conjectural relation to the work of Lekili and Ueda.
Sources & referencesView supporting material
Primary source
James Pascaleff and Nicolò Sibilla, “Singularity categories of normal crossings surfaces, descent, and mirror symmetry”, arXiv:2208.03896 (2022).
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