4 problems

All-rank rational-central-charge conjecture. The approach works, for rational central charges, for all pairs $(N,n)$ with $N,n\in{\mathbb Z}_{\geq 1}$.

The $U(1)$ instanton partition function conjecture.

The $T_2$ vertex is a trivalent topological-string building block whose gluing produces partition functions; in the four-dimensional limit, these partition functions can be compare…

Let $N$ be the gauge-group rank, let $y_1,\ldots,y_N$ be variables with $y_{i+N}=y_i$, and define … Let $a_i$, $m_i$, $\widetilde m_i$ satisfy $x_{i+N}=x_i+\epsilon_2$ for…