Browsing by Author "Atalan,F."
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Article Moves on Curves on Nonorientable Surfaces(Rocky Mountain Mathematics Consortium, 2022) Atalan,F.; Yurttaş,S.Ö.; MathematicsLet 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. © Rocky Mountain Mathematics Consortium.
