3 problems

Let the elliptic orbifolds be $\mathbb{P}^1_{3,3,3}$, $\mathbb{P}^1_{4,4,2}$, and $\mathbb{P}^1_{6,3,2}$, and consider their genus-zero Gromov–Witten potentials and the associated…

The quantities $c_{y}$, $c_{yz2}$, $c_{yz4}$, and $c_{z}$ arise in the generalized SYZ map for the elliptic orbifold under consideration. A function is quasi-modular if it belongs…

Let $h_8(q)$ and $h_9(q)$ denote the generating functions for the orbifold insertions described above, and let $F_{0,3}$ and $F_{1,3}$ be the corresponding decompositions by the no…