  Nadler introduced certain Lagrangian singularities indexed by trees, and
determined their microlocal sheaves to be the category of modules over the
corresponding tree quiver. Another family of spaces indexed by trees: the tree
plumbings of spheres. The Fukaya-Seidel category of the Lefschetz fibration
with this plumbing as fiber and all spheres as vanishing cycles is well known
to also be modules over the tree quiver. Here we upgrade this matching of
categories to a matching of geometry.
