Quantum invariance under non-smooth toric flops of the simplest type

Abstract

For a non-smooth toric flop of the simplest type, we provide the $\text{quantum product formulas}$ and construct the $\text{degree-preserving}$ quantum correspondence via $\text{generalized}$ analytic continuation which is achieved through a $\text{regularization}$ map. Moreover, the generating functions of Gromov--Witten invariants with ancestors are invariant for $\text{all genera}$.

arXiv comment46 pages, higher genus result added