RELAXING MULTICURVES ON THE TWICE PUNCTURED MÖBIUS BAND

Authors : Abdullah BAYKAL, Ferihe ATALAN, Saadet Öykü YURTTAŞ

Pages : 16-22

Doi:10.51477/mejs.1286503

View : 20 | Download : 21

Publication Date : 2023-06-26

Article Type : Research Paper

Abstract :Let N1,n insert ignore into journalissuearticles values(n ≥ 1); be a non-orientable surface of genus 1 with n punctures and one boundary component. Generalized Dynnikov coordinates provide a bijection between the set of multicurves in N1,n and Z2n−1 \\ {0}. In this paper we restrict to the case where n = 2 and describe an algorithm to relax a multicurve in N1,2 making use of its generalized Dynnikov coordinates
Keywords : Non orientable surface, Geneneralized Dynnikov coordinates, Multicurves