4 problems

Let $G$ be a finitely generated group admitting a connected $1$-finite $1$-model $(A,d)$ with positive weights such that $\operatorname{im}(d^\vee)$ is concentrated in weights…

Schenck–Suciu holonomy-rank formula. The displayed identity computes the holonomy ranks of $\mathsf{M}(\Gamma)$. It was conjectured by Schenck and Suciu and proved by Lima-Filho an…

Etingof–Henriques–Kamnitzer–Rains conjecture. The holonomy Lie algebra is isomorphic to the Magnus construction:

Let $L=(L_1,\dots,L_n)$ be an $n$-component link in $S^3$, let $G=\pi_1(S^3\setminus\bigcup_{i=1}^n L_i)$ be its link group, and let $F_{n-1}$ be the free group of rank $n-1$. For…