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Intersections of Multicurves on Small Genus Non–Orientable Surfaces

Year 2021, , 110 - 116, 27.12.2021
https://doi.org/10.33187/jmsm.1005520

Abstract

Let $K_{n}$ ($n>1$) be an $n$--punctured non--orientable surface of genus $2$ with 1 boundary component. We give formulae for calculating the geometric intersection number of an arbitrary multicurve with a relaxed multicurve on $K_{n}$ given their generalized Dynnikov coordinates.

Supporting Institution

TUBITAK

Project Number

3001-117F282

References

  • [1] T. Hall, S. O¨ . Yurttas¸, Intersections of multicurves from Dynnikov coordinates, Bull. Aust. Math. Soc, 98, (2018), 149-158.
  • [2] S. O¨ . Yurttas¸, Geometric intersection of curves on punctured disks, J. Math. Soc. Japan, 65(4) (2013), 1153-1168.
  • [3] I. Dynnikov, On a Yang-Baxter mapping and the Dehornoy ordering, Uspekhi Mat. Nauk, 57(345) (2002), 151-152.
  • [4] A. Papadopoulos, R.C. Penner, Hyperbolic metrics, measured foliations and pants decompositions for non-orientable surfaces, Asian J. Math, 20 (2016), 157-182.
  • [5] M. Pamuk, S. O¨ . Yurttas¸, Integral laminations on non–orientable surfaces, Turkish J. Math, 42 (2018), 69-82.
Year 2021, , 110 - 116, 27.12.2021
https://doi.org/10.33187/jmsm.1005520

Abstract

Project Number

3001-117F282

References

  • [1] T. Hall, S. O¨ . Yurttas¸, Intersections of multicurves from Dynnikov coordinates, Bull. Aust. Math. Soc, 98, (2018), 149-158.
  • [2] S. O¨ . Yurttas¸, Geometric intersection of curves on punctured disks, J. Math. Soc. Japan, 65(4) (2013), 1153-1168.
  • [3] I. Dynnikov, On a Yang-Baxter mapping and the Dehornoy ordering, Uspekhi Mat. Nauk, 57(345) (2002), 151-152.
  • [4] A. Papadopoulos, R.C. Penner, Hyperbolic metrics, measured foliations and pants decompositions for non-orientable surfaces, Asian J. Math, 20 (2016), 157-182.
  • [5] M. Pamuk, S. O¨ . Yurttas¸, Integral laminations on non–orientable surfaces, Turkish J. Math, 42 (2018), 69-82.
There are 5 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Saadet Oyku Yurttas 0000-0002-0262-1914

Project Number 3001-117F282
Publication Date December 27, 2021
Submission Date October 6, 2021
Acceptance Date December 6, 2021
Published in Issue Year 2021

Cite

APA Yurttas, S. O. (2021). Intersections of Multicurves on Small Genus Non–Orientable Surfaces. Journal of Mathematical Sciences and Modelling, 4(3), 110-116. https://doi.org/10.33187/jmsm.1005520
AMA Yurttas SO. Intersections of Multicurves on Small Genus Non–Orientable Surfaces. Journal of Mathematical Sciences and Modelling. December 2021;4(3):110-116. doi:10.33187/jmsm.1005520
Chicago Yurttas, Saadet Oyku. “Intersections of Multicurves on Small Genus Non–Orientable Surfaces”. Journal of Mathematical Sciences and Modelling 4, no. 3 (December 2021): 110-16. https://doi.org/10.33187/jmsm.1005520.
EndNote Yurttas SO (December 1, 2021) Intersections of Multicurves on Small Genus Non–Orientable Surfaces. Journal of Mathematical Sciences and Modelling 4 3 110–116.
IEEE S. O. Yurttas, “Intersections of Multicurves on Small Genus Non–Orientable Surfaces”, Journal of Mathematical Sciences and Modelling, vol. 4, no. 3, pp. 110–116, 2021, doi: 10.33187/jmsm.1005520.
ISNAD Yurttas, Saadet Oyku. “Intersections of Multicurves on Small Genus Non–Orientable Surfaces”. Journal of Mathematical Sciences and Modelling 4/3 (December 2021), 110-116. https://doi.org/10.33187/jmsm.1005520.
JAMA Yurttas SO. Intersections of Multicurves on Small Genus Non–Orientable Surfaces. Journal of Mathematical Sciences and Modelling. 2021;4:110–116.
MLA Yurttas, Saadet Oyku. “Intersections of Multicurves on Small Genus Non–Orientable Surfaces”. Journal of Mathematical Sciences and Modelling, vol. 4, no. 3, 2021, pp. 110-6, doi:10.33187/jmsm.1005520.
Vancouver Yurttas SO. Intersections of Multicurves on Small Genus Non–Orientable Surfaces. Journal of Mathematical Sciences and Modelling. 2021;4(3):110-6.

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