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After fixing a non-degenerate bilinear form on a vector space V we define aninvolution of the manifold of flags F in V by taking a flag to its orthogonalcomplement. When V is of dimension 3 we check that the Crepant ResolutionConjecture of J. Bryan and T. Graber holds: the genus zero (orbifold)Gromov-Witten potential function of [F / Z_2] agrees (up to unstable terms)with the genus zero Gromov-Witten potential function of a crepant resolution Yof the quotient scheme F / Z_2, after setting a quantum parameter to -1, makinga linear change of variables, and analytically continuing coefficients. Thecrepant resolution Y (a hypersurface in the Hilbert scheme Hilb^2 P^2) is theprojectivization of a novel rank 2 vector bundle over P^2.

The Crepant Resolution Conjecture for 3-dimensional flags modulo an involution