Qin's dual-torus Fukaya-category equivalence conjecture
Qin's dual-torus Fukaya-category equivalence conjecture
Let be a torus equipped with complexified symplectic form , and let
be its dual torus equipped with .
Qin's dual-torus Fukaya-category conjecture. The Fukaya category of should be equivalent to the Fukaya category of its dual .
This claim expresses the categorical equivalence expected from mirror symmetry for dual tori. In the surrounding discussion, the equivalence is motivated by the identification of the twisted doubling tori up to a B-field twist; the source does not state that the conjecture has been resolved.
Sources & referencesView supporting material
Primary source
Yingdi Qin, “Coisotropic branes on tori and Homological mirror symmetry”, arXiv:2207.10647 (2022).
Progress summary
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