Integral laminations on nonorientable surfaces

Authors : S. Öykü Yurttaş, Mehmetcik Pamuk

Pages : 69-82

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Publication Date : 9999-12-31

Article Type : Makaleler

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 $(\mathbb{Z}^{2(n+k-2)}\times \mathbb{Z}^k)\setminus \left\{0\right\}$.
Keywords : Nonorientable surfaces, triangle coordinates, Dynnikov coordinates