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- W2964323908 abstract "We show that all strongly non-degenerate trigonometric solutions of the associative Yang–Baxter equation (AYBE) can be obtained from triple Massey products in the Fukaya categories of square-tiled surfaces. Along the way, we give a classification result for cyclic A ∞ -algebra structures on a certain Frobenius algebra associated with a pair of 1-spherical objects in terms of the equivalence classes of the corresponding solutions of the AYBE. As an application, combining our results with homological mirror symmetry for punctured tori (cf. [17] ), we prove that any two simple vector bundles on a cycle of projective lines are related by a sequence of 1-spherical twists and their inverses." @default.
- W2964323908 created "2019-07-30" @default.
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- W2964323908 date "2019-02-01" @default.
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- W2964323908 title "Associative Yang–Baxter equation and Fukaya categories of square-tiled surfaces" @default.
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- W2964323908 doi "https://doi.org/10.1016/j.aim.2018.11.018" @default.
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