The local-orbifold correspondence for simple normal crossings pairs (2103.09299v3)

Abstract: For $X$ a smooth projective variety and $D=D_1+\ldots+D_n$ a simple normal crossings divisor, we establish a precise cycle-level correspondence between the genus zero local Gromov-Witten theory of the bundle $\oplus_{i=1}^n \mathcal{O}X(-D_i)$ and the maximal contact Gromov-Witten theory of the multi-root stack $X{D,\vec{r}}$. The proof is an implementation of the rank reduction strategy. We use this point of view to clarify the relationship between logarithmic and orbifold invariants.