An effective theory of GW and FJRW invariants of quintics Calabi-Yau   manifolds
  This is the second part of the project toward an effective algorithm to evaluate all genus Gromov-Witten invariants of quintic Calabi-Yau threefolds. In this paper, the localization formula is derived, and algorithms toward evaluating these Gromov-Witten invariants are derived. 
Huai-Liang Chang, Jun Li, Wei-Ping Li, and Chiu-Chu Melissa Liu
math.AG