On the topology of desingularizations of Calabi-Yau orbifolds
| dc.creator | Joyce, Dominic | |
| dc.date | 1998-06-26 | |
| dc.date.accessioned | 2026-07-07T05:25:12Z | |
| dc.date.available | 2026-07-07T05:25:12Z | |
| dc.description | Let X/G be a 3-dimensional Calabi-Yau orbifold with codimension 2 singularities. The topology of crepant resolutions of X/G is described by the McKay correspondence (Reid, Ito). We study Calabi-Yau 3-folds Y that arise by deforming the complex structure of X/G. The McKay correspondence does not hold for such Y. We describe the topology of Y using the `Weyl group' of the singular set of X/G. Even in simple examples, this can give many different ways to desingularize X/G. It would be interesting to interpret these results in String Theory, which should lead to a generalization of the idea of orbifold CFT, similar to the idea of `discrete torsion' (Vafa, Witten). | |
| dc.description | 25 pages, LaTeX, uses packages amstex and amssymb | |
| dc.identifier | https://arxiv.org/abs/math/9806146 | |
| dc.identifier | http://arxiv.org/abs/math/9806146 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77095 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the topology of desingularizations of Calabi-Yau orbifolds | |
| dc.type | text |