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Dergiler / Middle East Journal of Science / 2026 / Volume: 9 Issue: 1

RELAXING MULTICURVES ON THE TWICE PUNCTURED MÖBIUS BAND

Abdullah Baykal(DICLE UNIVERSITY)0000-0001-8011-024X
Ferihe Atalan(ATILIM UNIVERSITY)0000-0001-6547-0570
Saadet Öykü Yurttaş(DICLE UNIVERSITY)0000-0002-0262-1914
Sayfa
—
Yayın Tarihi
2023-06-26
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez:Let N1,n (n ≥ 1) be a non-orientable surface of genus 1 with n punctures and one boundary component.
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Temel Bulgular & Veri:Generalized Dynnikov coordinates provide a bijection between the set of multicurves in N1,n and Z2n−1 \ {0}.
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Sonuç & Katkı: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
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Baykal, A., Atalan, F., Yurttaş, S. Ö. (2023). RELAXING MULTICURVES ON THE TWICE PUNCTURED MÖBIUS BAND. Middle East Journal of Science, Volume: 9 Issue: 1. https://doi.org/10.51477/mejs.1286503

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Kaynakça (10)

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  7. Korkmaz, M., “Mapping class groups of nonorientable surfaces”, Geom. Dedicata 89, 109-133, 2002.
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  9. Yurttaş, S. Ö., Pamuk, M., “Integral laminations on non-orientable surfaces”, Turkish Journal of Mathematics, 42, 69-82, 2018.
  10. Yurttaş, S. Ö., “Curves on non-orientable surfaces and crosscap transpositions”, Mathematics, 10(9), 1–33, 2022.