6 problems

Equivariant abelian/nonabelian correspondence. Let $\varphi:P\longrightarrow N$ be the isomorphism of formal schemes over $N(X//{\bf G})\otimes{\mathbb C}[\lambda]$ defined by…

Let $X=\mathcal{O}_{\mathbb{P}^{1}}(l_1,l_2,l_3)$ with $l_1+l_2+l_3=-2$, and let $\mathrm{GW}_{0,2}(X)$ and $P_{1,d[\mathbb{P}^{1}]}(X)$ denote the equivariant invariants defined i…

Let $n\geq0$, let $I_n$ be the equivariant $I$-function, and write its restriction to $H=\lambda_i$ as … where $R_{k,i}$ are formal series and $\mathds{G}_n$ is the ring defined fr…

Let $R_{k,i}$ be the coefficients in the asymptotic expansion of the restriction of the equivariant $I$-function to $H=\lambda_i$ for local $\mathbb{P}^2$, and let $\mathds{G}_2$ b…

Let $C$ be a smooth projective curve, let $L_1,L_2,L_3$ be line bundles on $C$ satisfying … and let $d\geq1$. Higher-degree local-curve conjecture. After substituting…

Let $\mathscr{L}^{\mathcal{X}}\subset\mathscr{V}^{\mathcal{X}}$ and $\mathscr{L}^{\mathcal{Y}}\subset\mathscr{V}^{\mathcal{Y}}$ be the equivariant genus-zero Gromov–Witten Lagrangi…