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- W3105137211 abstract "Let M be a Liouville 6-manifold which is the smooth fiber of a Lefschetz fibration on C 4 constructed by suspending a Lefschetz fibration on C 3 . We prove that for many examples including stabilizations of Milnor fibers of hypersurface cusp singularities, the compact Fukaya category F ( M ) and the wrapped Fukaya category W ( M ) are related through A ∞ -Koszul duality, by identifying them with cyclic and Calabi–Yau completions of the same quiver algebra. This implies the split-generation of the compact Fukaya category F ( M ) by vanishing cycles. Moreover, new examples of Liouville manifolds which admit quasi-dilations in the sense of Seidel–Solomon are obtained." @default.
- W3105137211 created "2020-11-23" @default.
- W3105137211 creator A5083532124 @default.
- W3105137211 date "2019-06-20" @default.
- W3105137211 modified "2023-09-27" @default.
- W3105137211 title "Koszul duality via suspending Lefschetz fibrations" @default.
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- W3105137211 doi "https://doi.org/10.1112/topo.12113" @default.
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