Integral laminations on non-orientable surfaces

Abstract

We describe triangle coordinates for integral laminations on a non-orientable surface $N_{k,n}$ of genus $k$ with $n$ punctures and one boundary component, and give an explicit bijection from the set of integral laminations on $N_{k,n}$ to $({\mathbb{Z}}^{2(n+k-2)}\times {\mathbb{Z}}^k)\setminus \left\{0\right\}$.

arXiv comment17 pages, accepted