  In a recent paper, we obtained a WDVV-type relation for real genus 0
Gromov-Witten invariants with conjugate pairs of insertions; it specializes to
a complete recursion in the case of odd-dimensional projective spaces. This
note provides another, more complex-geometric, proof of the latter. The main
part of this approach readily extends to real symplectic manifolds with empty
real locus, but not to the general case.
