Geodesic
Higher genus Gromov–Witten invariants as genus zero invariants of symmetric products
Kevin Costello1
1 Department of Mathematics, Northwestern University, Evanston, IL 60208, United States
Annals of mathematics, Tome 164 (2006) no. 2, pp. 561-601.

Voir la notice de l'article provenant de la source Annals of Mathematics website

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.
DOI : 10.4007/annals.2006.164.561

Kevin Costello 1

1 Department of Mathematics, Northwestern University, Evanston, IL 60208, United States 
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Kevin Costello. Higher genus Gromov–Witten invariants as genus zero invariants of symmetric products. Annals of mathematics, Tome 164 (2006) no. 2, pp. 561-601. doi : 10.4007/annals.2006.164.561. http://geodesic.mathdoc.fr/articles/10.4007/annals.2006.164.561/

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