Higher-genus Gromov-Witten invariants as genus 0 invariants of symmetric products
arXiv:math/0303387
Abstract
I prove a formula expressing the descendent genus g Gromov-Witten invariants of a projective variety X in terms of genus 0 invariants of its symmetric product stack S^{g+1}(X). When X is a point, the latter are structure constants of the symmetric group, and we obtain a new way of calculating the Gromov-Witten invariants of a point.
Version 4, references added. 32 pages