{ "id": "0905.1725", "version": "v1", "published": "2009-05-11T21:49:27.000Z", "updated": "2009-05-11T21:49:27.000Z", "title": "An example of crepant resolution conjecture in two steps", "authors": [ "Renzo Cavalieri", "Gueorgui Todorov" ], "categories": [ "math.AG" ], "abstract": "We study the relation among the genus 0 Gromov-Witten theories of the three spaces $\\mathcal{X}\\leftarrow\\mathcal{Z}\\leftarrow Y$, where $\\mathcal{X}=[\\c^2/\\z_3]$, $\\mathcal{Z}$ is obtained by a weighted blowup at the stacky point of $\\mathcal{X}$, and $Y$ is the crepant resolution of the $A_2$ singularity. We formulate and verify a statement similar to the Crepant Resolution Conjecture of Bryan and Graber.b", "revisions": [ { "version": "v1", "updated": "2009-05-11T21:49:27.000Z" } ], "analyses": { "subjects": [ "14N35" ], "keywords": [ "crepant resolution conjecture", "gromov-witten theories", "stacky point", "statement similar", "weighted blowup" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0905.1725C" } } }