An example of Crepant Resolution Conjecture in two steps

摘要

We study the relation among the genus 0 Gromov-Witten theories of the three spacesX ←Z ←Y, where X = [C~2/Z~3], Z is obtained by a weighted blow-up at the stacky point of X, and Y is the crepant resolution of the A2 singularity. We formulate and verify a statement generalizing the Crepant Resolution Conjecture of Bryan and Graber, that we call the Crepant Partial Resolution Conjecture.