Fukaya A_\infty structures associated to Lefschetz fibrations. II
Symplectic Geometry
2017-06-05 v6
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.
Cite
@article{arxiv.1404.1352,
title = {Fukaya A_\infty structures associated to Lefschetz fibrations. II},
author = {Paul Seidel},
journal= {arXiv preprint arXiv:1404.1352},
year = {2017}
}
Comments
theorem numbering adjusted to match published version