Joint IAS/Princeton University Symplectic Geometry Seminar

A criterion for generating Fukaya categories of fibrations

The Fukaya category of a fibration with singularities \(W: M \to C\), or Fukaya-Seidel category, enlarges the Fukaya category of \(M\) by including certain non-compact Lagrangians and asymmetric perturbations at infinity involving \(W\); objects include Lefschetz thimbles if \(W\) is a Lefschetz fibration. I will recall this category and then explain a criterion, in the spirit of work of Abouzaid and Abouzaid-Fukaya-Oh-Ohta-Ono, for when a finite collection of Lagrangians split-generates such a fibration. The new ingredients needed include a Floer homology group associated to \((M,W)\) and the Serre functor. This is work in progress with Mohammed Abouzaid.

Date & Time

February 21, 2014 | 1:30pm – 2:30pm

Location

S-101

Affiliation

Stanford University

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