3 problems

N-regularity conjecture. Every vertex of the underlying undirected graph of $\operatorname{Hasse}(L)$ has degree $N$; equivalently, the graph is $N$-regular.

Let $\mathbb{S}=S_{g,h}$ be a closed surface notation used in the paper, let $k$ be the rank, and let $\mathbb{E}_{\rm good}$ map to the dosp mutation graph via the map…

A positive braid word is a word in the braid generators with only positive exponents, and its mutation graph has vertices given by equivalence classes of Demazure weaves and edges…