  We derive a fixed-point formula for integrals on moduli spaces of stable maps
to projective spaces of even dimension. This gives a formula for the
equivariant open Gromov-Witten invariants of (RP^{2m},CP^{2m}) and the
structure constants of the equivariant Fukaya A-infinity algebra of RP^2m in
CP^{2m} with bulk deformations. The formula involves contributions from
Givental's correlators for the closed theory and the descendent integrals of
discs, and specializes to give a new expression for the Welschinger count of
real rational curves in the plane passing through some real and conjugation
invariant pairs of points.
