Fukaya A_\infty structures associated to Lefschetz fibrations. II

Paul Seidel

Fukaya A_\infty structures associated to Lefschetz fibrations. II

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arxiv 1404.1352 v6 pith:RJ635TZQ submitted 2014-04-04 math.SG

Paul Seidel This is my paper · ORCID

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keywords associatedfukayafunctorlefschetzaroundbasiscategorycohomology

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We consider the Fukaya category associated to a basis of vanishing cycles in a Lefschetz fibration. We show that each element of the Floer cohomology of the monodromy around infinity gives rise to a natural transformation from the Serre functor to the identity functor. This complements previously known constructions, in a way which fits in well with homological mirror symmetry.

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