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Fukaya A -structures Associated to Lefschetz Fibrations. II

Part of the Progress in Mathematics book series (PM,volume 324)

Abstract

Consider the Fukaya category associated to a Lefschetz fibration. It turns out that the Floer cohomology of the monodromy around ∞ gives rise to natural transformations from the Serre functor to the identity functor, in that category. We pay particular attention to the implications of that idea for Lefschetz pencils.

Mathematics Subject Classification (2010).

  • primary 53D40; secondary 53D12
  • 32S50

Keywords

  • Floer homology
  • Lefschetz fibrations
  • Fukaya categories

To Maxim Kontsevich, on his 50th birthday

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Correspondence to Paul Seidel .

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Seidel, P. (2017). Fukaya A -structures Associated to Lefschetz Fibrations. II. In: Auroux, D., Katzarkov, L., Pantev, T., Soibelman, Y., Tschinkel, Y. (eds) Algebra, Geometry, and Physics in the 21st Century. Progress in Mathematics, vol 324. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-59939-7_8

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