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

Fixed-point Localization for $\mathbb{RP}^{2m} \subset \mathbb{CP}^{2m}$