Integral laminations on nonorientable surfaces

Authors

S. ÖYKÜ YURTTAŞ
MEHMETCİK PAMUK

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

First Page

69

Last Page

82

Recommended Citation

YURTTAŞ, S. ÖYKÜ and PAMUK, MEHMETCİK (2018) "Integral laminations on nonorientable surfaces," Turkish Journal of Mathematics: Vol. 42: No. 1, Article 8. https://doi.org/10.3906/mat-1608-76
Available at: https://journals.tubitak.gov.tr/math/vol42/iss1/8