Dan Edidin, Wei-Ping Li, Zhenbo Qin
Abstract
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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.
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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.
Key concepts: Hilbert scheme, Mathematics, Scheme (mathematics), Conjecture, Pure mathematics, Projective plane, Genus, Point (geometry)