We compute the Fukaya category of the symplectic blowup of a compact rational symplectic manifold at a point in the following sense: suppose a collection of Lagrangian branes satisfy Abouzaid’s criterion [Abo10] for split-generation of a bulk-deformed Fukaya category of cleanly intersecting Lagrangian branes. We show (Theorem 1.1) that for a small blowup parameter, their inverse images in the blowup together with a collection of branes near the exceptional locus split-generate the Fukaya category of the blowup. This categorifies a result on quantum cohomology by Bayer [Bay04] and is an example of a more general conjectural description of the behaviour of the Fukaya category under transitions occurring in the minimal model program, namely that minimal model program transitions generate additional summands.
