Crepant resolutions of weighted projective spaces and quantum deformations
| dc.creator | Boissiere, Samuel | |
| dc.creator | Mann, Etienne | |
| dc.creator | Perroni, Fabio | |
| dc.date | 2006-10-20 | |
| dc.date | 2007-09-29 | |
| dc.date.accessioned | 2026-07-07T08:32:43Z | |
| dc.date.available | 2026-07-07T08:32:43Z | |
| dc.description | We compare the Chen-Ruan cohomology ring of the weighted projective spaces $\IP(1,3,4,4)$ and $\IP(1,...,1,n)$ with the cohomology ring of their crepant resolutions. In both cases, we prove that the Chen-Ruan cohomology ring is isomorphic to the quantum corrected cohomology ring of the crepant resolution after suitable evaluation of the quantum parameters. For this, we prove a formula for the Gromov-Witten invariants of the resolution of a transversal ${\rm A}_3$ singularity. | |
| dc.description | Exposition improved, new title, typos corrected. The section concerning the model for the orbifold Chow ring has been removed (appears now in our new preprint 0709.4559) | |
| dc.identifier | https://arxiv.org/abs/math/0610617 | |
| dc.identifier | http://arxiv.org/abs/math/0610617 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138884 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E15; 14N35; 14F45 | |
| dc.title | Crepant resolutions of weighted projective spaces and quantum deformations | |
| dc.type | text |