I will discuss joint work with Arend Bayer in which we computed genus 0 
orbifold Gromov-Witten invariants of [C^N/\mu_r] for linear actions of 
\mu_r on C^N.  We used weighted stable maps in an essential way.  The 
outcome of our work is to encode the total Chern class of the 
obstruction bundle into a family of piecewise analytic functions from 
real tori into the real cohomology of \bar{M}_{0,n}.  We also have a 
combinatorial technique for extracting the Gromov-Witten invariants from 
this data.  We hope this work can be used to study the crepant 
resolution conjecture for the orbifolds [C^N/\mu_r].