Gromov-Witten invariants of varieties with holomorphic 2-forms
| dc.creator | Kiem, Young-Hoon | |
| dc.creator | Li, Jun | |
| dc.date | 2007-07-20 | |
| dc.date.accessioned | 2026-07-07T08:19:21Z | |
| dc.date.available | 2026-07-07T08:19:21Z | |
| dc.description | We show that a holomorphic two-form $θ$ on a smooth algebraic variety X localizes the virtual fundamental class of the moduli of stable maps $\mgn(X,β)$ to the locus where $θ$ degenerates; it then enables us to define the localized GW-invariant, an algebro-geometric analogue of the local invariant of Lee and Parker in symplectic geometry, which coincides with the ordinary GW-invariant when X is proper. It is deformation invariant. Using this, we prove formulas for low degree GW-invariants of minimal general type surfaces with p_g>0 conjectured by Maulik and Pandharipande. | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/0707.2986 | |
| dc.identifier | http://arxiv.org/abs/0707.2986 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134732 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Gromov-Witten invariants of varieties with holomorphic 2-forms | |
| dc.type | text |