Cambridge Journal of Mathematics
Volume 4 (2016)
Invariance of quantum rings under ordinary flops III: A quantum splitting principle
Pages: 333 – 401
In this paper we prove the invariance of quantum rings for general ordinary flops, whose local models are certain non-split toric bundles over arbitrary smooth bases. An essential ingredient in the proof is a quantum splitting principle which reduces a statement in Gromov–Witten theory on non-split bundles to the case of split bundles.