4 problems

Let $k$ be the degree of the Calabi–Yau hypersurface $M_k^k$, let $f_{\Gamma_d^{\mathrm{loop}}}$ denote the loop contribution indexed by degree $d$, let…

Let $M_k^k$ be a degree-$k$ hypersurface in ${\mathbb P}^{k-1}$, let $F_{1,\mathrm{vir.}}^{k,k,B}(x)$ be the genus-$1$ virtual-structure-constant generating function, and let…

Let $X_{m+2}$ be the Calabi–Yau hypersurface, let $q$ be the exponentiated complexified Kähler parameter, and consider the instanton generating function of the genus-zero degree-…

Let $X_{m+2}$ be the Calabi–Yau hypersurface and let $z$ be the local complex-structure coordinate. Let $\tau(z)$ be the disk partition function, let…