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

• Autores: Kevin Costello
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 164, Nº 2, 2006, págs. 561-601
• Idioma: inglés
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• Resumen

  • 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 Sg+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.