English

Fukaya A_\infty-structures associated to Lefschetz fibrations. II 1/2

Symplectic Geometry 2015-11-13 v2

Abstract

We consider a version of the relative Fukaya category for anticanonical Lefschetz pencils. There are direct connections between the behaviour of this category and enumerative geometry: some of these are results announced here, others remain conjectural. The ultimate aim of this approach is to determine the Fukaya category of the Calabi-Yau hypersurfaces that constitute the pencil.

Keywords

Cite

@article{arxiv.1504.06317,
  title  = {Fukaya A_\infty-structures associated to Lefschetz fibrations. II 1/2},
  author = {Paul Seidel},
  journal= {arXiv preprint arXiv:1504.06317},
  year   = {2015}
}

Comments

v2: exposition reorganized, expanded discussion of Gromov-Witten invariants