  We introduce the notion of a tropical coamoeba which gives a combinatorial
description of the Fukaya category of the mirror of a toric Fano stack. We show
that the polyhedral decomposition of a real n-torus into (n + 1) permutohedra
gives a tropical coamoeba for the mirror of the projective space, and prove a
torus-equivariant version of homological mirror symmetry for the projective
space. As a corollary, we obtain homological mirror symmetry for toric
orbifolds of the projective space.
