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arXiv · 1404.1352

Fukaya A_\infty structures associated to Lefschetz fibrations. II

Paul Seidel
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Abstract

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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Paul Seidel. 2014-04-04. Fukaya A_\infty structures associated to Lefschetz fibrations. II. https://arxiv.org/abs/1404.1352

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