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I prove a formula expressing the descendent genus g Gromov-Witten invariantsof a projective variety X in terms of genus 0 invariants of its symmetricproduct stack S^{g+1}(X). When X is a point, the latter are structure constantsof the symmetric group, and we obtain a new way of calculating theGromov-Witten invariants of a point.

Higher genus Gromov–Witten invariants as genus zero invariants of symmetric products