Coates–Corti–Iritani–Tseng's quantum Lefschetz conjecture without convexity

Let $G$ be an abelian group acting in a CI-GIT presentation, and let $Y\mathord{/{\mkern-6mu/}}G$ be the corresponding quotient with projective coarse moduli space. Let $\mathfrak{i}:Y\mathord{/{\mkern-6mu/}}G\to X\mathord{/{\mkern-6mu/}}G$ be the embedding, let $I^{X\mathord{/{\mkern-6mu/}}G,E}$ be the $E$-twisted quasimap $I$-function, and let $\kappa$ be the equivariant parameter for fiberwise scaling of $E$. Coates–Corti–Iritani–Tseng's conjecture. If

$$\lim_{\kappa\to 0}\mathfrak{i}^*I^{X\mathord{/{\mkern-6mu/}}G,E}$$

exists, then

$$\lim_{\kappa\to 0}\mathfrak{i}^*I^{X\mathord{/{\mkern-6mu/}}G,E}$$

is on the Lagrangian cone of $Y\mathord{/{\mkern-6mu/}}G$. The paper explains that this conjecture is faulty: the nonequivariant limit must exist before restriction to $Y\mathord{/{\mkern-6mu/}}G$, so the stated claim is refuted by the correction developed in the paper.