Fukaya A_∞-structures associated to Lefschetz fibrations. VIII

2021/06/01 by Paul Seidel, Seidel, Paul
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.SG

paper · pdf · doi:10.48550/arxiv.2106.00803

arxiv created 2021/06/01 · arxiv updated 2021/06/03

Abstract

We use Lefschetz pencil methods to derive structural results about Fukaya categories of Calabi-Yau hypersurfaces; in particular, concerning their dependence on the Novikov parameter. Warning to the reader: the arguments in this paper cite two preprints (papers 6.5 and 7 in the series) which do not at present exist. Until that is remedied, the proofs cannot be considered complete, and this paper should be regarded as a preliminary research announcement.

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