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 for split-generation of a
bulk-deformed Fukaya category of cleanly-intersecting Lagrangian branes. We
show that for a small blow-up 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 and is an example of a more general conjectural description
of the behavior of the Fukaya category under transitions occuring in the
minimal model program, namely that mmp transitions generate additional
summands.Comment: 82 page