Realizations of multiassociahedra via rigidity

Luis Crespo Ruiz, Francisco Santos

Let $\hat{I}{”}_k(n)$ denote the simplicial complex of $(k+1)$-crossing-free subsets of edges in $\left(\genfrac{}{}{0ex}{}{[n]}{2}\right)$. Here $k,n\in \mathbb{N}$ and $n\ge 2k+1$. Jonsson (2003) proved that (negl…