An example of crepant resolution conjecture in two steps

Details An example of crepant resolution conjecture in two steps An example of crepant resolution conjecture in two steps

2009-05-11

arxiv.org/abs/0905.1725v1

Mathematics

Algebraic Geometry

Scientific paper

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

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