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Journals / Middle East Journal of Science / 2023 / Cilt: 9 Sayı: 1

RELAXING MULTICURVES ON THE TWICE PUNCTURED MÖBIUS BAND

Abdullah BAYKAL
Ferihe ATALAN
Saadet Öykü YURTTAŞ
Pages
16–22
Publication Date
2023-06-26
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

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Objective & Hypothesis:Let N1,n (n ≥ 1) be a non-orientable surface of genus 1 with n punctures and one boundary component.
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Key Findings & Data:Generalized Dynnikov coordinates provide a bijection between the set of multicurves in N1,n and Z2n−1 \ {0}.
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Conclusion & Impact: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
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Non-orientable surface · Geneneralized Dynnikov coordinates · Multicurves

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

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Cite This Article

BAYKAL, A., ATALAN, F., YURTTAŞ, S. Ö. (2023). RELAXING MULTICURVES ON THE TWICE PUNCTURED MÖBIUS BAND. Middle East Journal of Science, Cilt: 9 Sayı: 1, 16–22. https://ajindex.com/articles/950289

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