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.
arXiv commentVersion 4, references added. 32 pages
References in corpus (7)
- A New Cohomology Theory for Orbifold
- Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants
- Gromov-Witten theory, Hurwitz numbers, and Matrix models, I
- The cup product of the Hilbert scheme for K3 surfaces
- Orbifold Quantum Cohomology
- Gromov-Witten theory, Hurwitz theory, and completed cycles
- Twisted bundles and admissible covers