6 problems

For a Calabi–Yau $A_\infty$ category, let the Gromov–Witten potential define a left ideal in the sheaf of Weyl algebras associated to its periodic cyclic chain complex, and let thi…

For $g\geq 0$ and $n\geq 1$, let $Z_{g;n}(q):=\sum_dN_{g,d;n}q^d$, where $N_{g,d;n}:=\sum_{(\beta,\sigma)=d,\,(\beta,F)=n}N_g(\beta)$. Let $E_2(q),E_4(q),E_6(q)$ be Eisenstein seri…

Let $\widetilde{\mathcal{F}}^{\mathsf{B}}_g$ be the genus-$g$ series associated to the formal quintic, let $T=I^{\mathsf{Q}}_1(q)/I^{\mathsf{Q}}_0(q)$ be the mirror coordinate, and…

Let $K\mathbb{P}^3$ be the local projective three-space, let $T=I^{K\mathbb{P}^3}_1(q)$ be the mirror coordinate, and let $\mathcal{F}^{\mathsf{SQ}}_{g,a+b}a,b$ denote the stable q…

Let $K\mathbb{P}^2$ be the local projective plane, let $T=I^{K\mathbb{P}^2}_1(q)$ be the mirror coordinate, and let $\mathcal{F}^{\mathsf{SQ}}_g$ denote its genus-$g$ stable quotie…

Let $K\mathbb{P}^2$ be the local projective plane, let $q$ be the degree variable, and let $T=I^{K\mathbb{P}^2}_1(q)$ be the mirror coordinate with $Q(q)=\exp(T)$. Let…