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Fukaya A_\infty-structures associated to Lefschetz fibrations. VI - MaRDI portal

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Fukaya A_\infty-structures associated to Lefschetz fibrations. VI

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Publication:6504172

arXiv1810.07119MaRDI QIDQ6504172

Author name not available (Why is that?)


Abstract: To a symplectic Lefschetz pencil on a monotone symplectic manifold, we associate an algebraic structure, which is a pencil of categories in the sense of noncommutative geometry. One fibre of this "noncommutative pencil" is related to the Fukaya category of the open (meaning, with the base locus removed, and hence exact symplectic) fibre of the original Lefschetz pencil; the other fibres are newly constructed kinds of Fukaya categories.












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