Higher-genus Gromov-Witten invariants as genus 0 invariants of symmetric products

Details Higher-genus Gromov-Witten invariants as genus 0 invariants of symmetric products Higher-genus Gromov-Witten invariants as genus 0 invariants of symmetric products

2003-03-31

arxiv.org/abs/math/0303387v4

Mathematics

Algebraic Geometry

Version 4, references added. 32 pages

Scientific paper

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.

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