Equivariant Open Gromov-Witten Theory of RP²ᵐ CP²ᵐ

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We define equivariant open Gromov-Witten invariants for RP²ᵐ CP²ᵐ as sums of integrals of equivariant forms over resolution spaces, which are blowups of products of moduli spaces of stable disc-maps modeled on trees. These invariants encode the quantum deformation of the equivariant cohomology of RP²ᵐ by holomorphic discs in CP²ᵐ and, for m=1, specialize to give Welschinger's signed count of real rational planar curves in the non-equivariant limit.