3 problems

Let $N$ be an oriented network, and call it reduced when it satisfies the paper's reducedness condition. Let the monodromy action on $N$ be the action induced by the network's mono…

Let $S$ be an orientable surface, let $u,v$ be boundary vertices, and let $M_{u,v}$ denote the generating function associated with the highway paths from $u$ to $v$, expressed usin…

Let $S$ be an orientable surface and let $u,v$ be boundary vertices. Fix a basepath $p$ from $u$ to $v$, and let $H(u,v)$ be the set of homology classes…