RELAXING MULTICURVES ON THE TWICE PUNCTURED MÖBIUS BAND

Year 2023, Volume: 9 Issue: 1, 16 - 22, 26.06.2023

Abdullah Baykal , Ferihe Atalan Saadet Öykü Yurttaş

https://doi.org/10.51477/mejs.1286503

Abstract

Let N1,n (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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