4 problems

Let $k_1,k_2,\ldots,k_r$ be positive integers. Define $W_{k_1,k_2,\ldots,k_r}$ to be the set of fat graphs with vertices $v_1,\ldots,v_r$ of valences $2k_1+3,2k_2+3,\ldots,2k_r+3$,…

Let $M_g^s$ be the mapping class group of genus-$g$ surfaces with $s\geq 1$ boundary components, modeled by a space of fat graphs. Let $\kappa_k\in H^{2k}(M_g;\mathbb{Z})$ denote t…

Let $4\mathcal W_{g,n}4$ be the abstract $n$-point functions and let the abstract quantum field theory have spectral curve $4\mathcal C4$. Wang–Zhou's residue-reformulation conject…

Let $4\mathcal W_{g,n}4$ be the abstract $n$-point functions of the abstract quantum field theory of fat graphs. Under a suitable Feynman-rule realization, let $4\mathcal C4$ be th…