Abstract

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

DOI

10.3906/mat-1608-76

Keywords

Nonorientable surfaces, triangle coordinates, Dynnikov coordinates

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Recommended Citation

YURTTAŞ, S. Ö, & PAMUK, M (2018). Integral laminations on nonorientable surfaces. Turkish Journal of Mathematics 42 (1): 69-82. https://doi.org/10.3906/mat-1608-76

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