Invariance of Gromov–Witten theory under a simple flop

Abstract In this work, we continue our study initiated in [11]. We show that the generating functions of Gromov–Witten invariants with ancestors are invariant under a simple flop, for all genera, after an analytic continuation in the extended Kähler moduli space. The results presented here give the first evidence, and the only one not in the toric category, of the invariance of full Gromov–Witten theory under the K-equivalence (crepant transformation).