Gromov-Witten invariants of the Hilbert scheme of 3-points on P^2

Abstract

Using obstruction bundles, composition law and the localization formula, we compute certain 3-point genus-0 Gromov-Witten invariants of the Hilbert scheme of 3-points on the complex projective plane. Our results partially verify Ruan's conjecture about quantum corrections for this Hilbert scheme.

Latex, 26 pages

References in corpus (2)

• Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
• The cup product of the Hilbert scheme for K3 surfaces

Cited by in corpus (4)

• Quantum cohomology of the Hilbert scheme of points in the plane
• Crepant resolutions of weighted projective spaces and quantum deformations
• The Cohomological Crepant Resolution Conjecture for the Hilbert-Chow morphisms
• Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces