Localization in Gromov-Witten Theory and Orbifold Gromov-Witten Theory
  In this expository article, we explain how to use localization to compute Gromov-Witten invariants of smooth toric varieties and orbifold Gromov-Witten invariants of smooth toric Deligne-Mumford stacks. 
Chiu-Chu Melissa Liu
math.AG