Fukaya A_\infty-structures associated to Lefschetz fibrations. VIII
Paul Seidel
TL;DR
This paper investigates the structure of Fukaya categories of Calabi-Yau hypersurfaces using Lefschetz pencil techniques, focusing on their dependence on the Novikov parameter, but relies on incomplete prior references.
Contribution
It introduces new structural insights into Fukaya categories of Calabi-Yau hypersurfaces via Lefschetz methods, with a focus on Novikov parameter dependence.
Findings
Structural results about Fukaya categories derived
Dependence on Novikov parameter analyzed
Preliminary research with incomplete references
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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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Geometric and Algebraic Topology