Abstract
Let denote a nonorientable surface of genus with punctures and one boundary component. We give an algorithm to calculate the geometric intersection number of an arbitrary multicurve with so-called relaxed curves in making use of measured -train tracks. The algorithm proceeds by the repeated application of three moves which take as input the measures of and produces as output a multicurve which is minimal with respect to each of the relaxed curves. The last step of the algorithm calculates the number of intersections between and the relaxed curves.
Citation
Ferihe Atalan. S. Öykü Yurttaş. "MOVES ON CURVES ON NONORIENTABLE SURFACES." Rocky Mountain J. Math. 52 (6) 1957 - 1967, December 2022. https://doi.org/10.1216/rmj.2022.52.1957
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