Polynomial structure of Gromov-Witten potential of quintic $3$-folds via NMSP

Abstract

We use stable graphs to package the $\mathrm{NMSP}$ relations. Our tools are the $S$ matrix of the $\mathcal{O}(5)$-twisted ${\mathbb{P}}^{\mathrm{N}+4}$ equivariant GW theory, and the $R$ matrix obtained from the stablization of the theory's localization formula.