7 problems

Let $c_{ijk}$ be the coefficient attached to the stabilized component $C_{ijk}$. Coefficient-one uniqueness conjecture. The components described in the preceding construction are t…

Let $F$ be a forest whose trees are $T_1,\dots,T_j$, with $i_\alpha$ the corresponding parameters, and for each ramification node $u$ let $q_1(u)$ and $q_2(u)$ count the nodes in t…

Let $F$ be a forest with trees $T_1,\dots,T_j$, let $d_\alpha$ be the associated depth parameters, let $\gamma_\alpha$ be the depths of the minimal contractions, and let…

Let $T$ be a rooted binary tree, let $\varphi(T,w)$ be the associated parametrization, and let $\gamma$ be the depth of the minimal contraction of $T$. Minimal-contraction degree c…

Let $\bar{\goth F}_{ij}$ be the quotient of pairs $(F,w)$ by the equivalence relation generated by $\operatorname{Aut}(F)$ and $\goth G$, and let $\varphi_{ij}$ be the induced map…

Let $F$ be a forest with weight function $w$, and let $\varphi(F,w)$ be the associated map to $X(m,i)$. Dimension conjecture. For every $F,w$, … Since the source of the parametriza…

Let $T$ be a rooted binary tree and $F$ a forest equipped with a weight function $w$ satisfying the stated conditions. The construction associates to each pair $(F,w)$ an irreducib…