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  • Middle East Journal of Science
  • Volume:9 Issue:1
  • RELAXING MULTICURVES ON THE TWICE PUNCTURED MÖBIUS BAND

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 : 109 | Download : 25
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

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