Asymptotic Hodge theory and quantum products
| dc.creator | Cattani, Eduardo | |
| dc.creator | Fernandez, Javier | |
| dc.date | 2000-11-19 | |
| dc.date | 2000-11-26 | |
| dc.date.accessioned | 2026-07-07T04:38:41Z | |
| dc.date.available | 2026-07-07T04:38:41Z | |
| dc.description | Assuming suitable convergence properties for the Gromov-Witten potential of a Calabi-Yau manifold $X$ one may construct a polarized variation of Hodge structure over the complexified Kähler cone of $X$. In this paper we show that, in the case of fourfolds, there is a correspondence between ``quantum potentials'' and polarized variations of Hodge structures that degenerate to a maximally unipotent boundary point. Under this correspondence, the WDVV equations are seen to be equivalent to the Griffiths' trasversality property of a variation of Hodge structure. | |
| dc.description | References and comments added. To appear in "Advances in Algebraic Geometry Motivated by Physics", Ed. E. Previatto, Contemporary Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0011137 | |
| dc.identifier | http://arxiv.org/abs/math/0011137 | |
| dc.identifier | Contemporary Mathematics, 276 (2001), p. 115-136. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60377 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14D07, 14N35 (Primary) 32G20, 14J32 (Secondary) | |
| dc.title | Asymptotic Hodge theory and quantum products | |
| dc.type | text |