Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces
| dc.creator | Li, Jun | |
| dc.creator | Li, Wei-Ping | |
| dc.date | 2007-03-24 | |
| dc.date.accessioned | 2026-07-07T07:53:51Z | |
| dc.date.available | 2026-07-07T07:53:51Z | |
| dc.description | Given an algebraic surface $X$, the Hilbert scheme $X^{[n]}$ of $n$-points on $X$ admits a contraction morphism to the $n$-fold symmetric product $X^{(n)}$ with the extremal ray generated by a class $β_n$ of a rational curve. We determine the two point extremal GW-invariants of $X^{[n]}$ with respect to the class $dβ_n$ for a simply-connected projective surface $X$ and the quantum first Chern class operator of the tautological bundle on $X^{[n]}$. The methods used are vertex algebraic description of $H^*(X^{[n]})$, the localization technique applied to $X=\mathbb P^2$, and a generalization of the reduction theorem of Kiem-J. Li to the case of meromorphic 2-forms. | |
| dc.identifier | https://arxiv.org/abs/math/0703717 | |
| dc.identifier | http://arxiv.org/abs/math/0703717 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126383 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C05 | |
| dc.title | Two point extremal Gromov-Witten invariants of Hilbert schemes of points on surfaces | |
| dc.type | text |