We prove a formula computing the Gromov-Witten invariants of genus zero with three marked points of the resolution of the transversal -singularity of the weighted projective space using the theory of deformations of surfaces with -singularities. We use this result to check Ruan’s conjecture for the stack .
"Computing certain Gromov-Witten invariants of the crepant resolution of ." Nagoya Math. J. 201 1 - 22, March 2011. https://doi.org/10.1215/00277630-2010-015