Atalan, FeriheYurttaş, S. Öykü2023-08-082023-08-082022Atalan, F. ve Yurttaş, S. Ö. (2022). Moves on curves on nonorientable surgaces. Rocky Mountain Journal of Mathematics, 52(6), 1957-1967.0035-7596https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-6/MOVES-ON-CURVES-ON-NONORIENTABLE-SURFACES/10.1216/rmj.2022.52.1957.fullhttps://hdl.handle.net/11468/12449Let Ng,n denote a nonorientable surface of genus g with n punctures and one boundary component. We give an algorithm to calculate the geometric intersection number of an arbitrary multicurve L with so-called relaxed curves in Ng,n making use of measured π1-train tracks. The algorithm proceeds by the repeated application of three moves which take as input the measures of L and produces as output a multicurve L′ which is minimal with respect to each of the relaxed curves. The last step of the algorithm calculates the number of intersections between L′ and the relaxed curves.eninfo:eu-repo/semantics/closedAccessGeometric intersectionMulticurvesπ1-train tracksArticle52619571967WOS:0009202335000042-s2.0-8514626502310.1216/RMJ.2022.52.1957Q2Q3