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math.SG2017
Fukaya categories in Koszul duality theory
Satoshi Sugiyama
In this paper, we define -Koszul duals for directed -categories in terms of twists in their -derived categories. Then, we compute a concrete for…
math.SG2016★ 2 cited
On the Fukaya-Seidel categories of surface Lefschetz fibrations
Satoshi Sugiyama
We prove that a positive allowable Lefschetz fibration, PALF in short, admits a structure of exact Lefschetz fibration in the sense of Seidel \cite{Se08}. If the two-fold first Che…