Research Article

Intersections of Multicurves on Small Genus Non–Orientable Surfaces

Volume: 4 Number: 3 December 27, 2021
EN

Intersections of Multicurves on Small Genus Non–Orientable Surfaces

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.

Keywords

geometric intersection, multicurves, generalized Dynnikov coordinates

Supporting Institution

TUBITAK

Project Number

3001-117F282

References

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  2. [2] S. O¨ . Yurttas¸, Geometric intersection of curves on punctured disks, J. Math. Soc. Japan, 65(4) (2013), 1153-1168.
  3. [3] I. Dynnikov, On a Yang-Baxter mapping and the Dehornoy ordering, Uspekhi Mat. Nauk, 57(345) (2002), 151-152.
  4. [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. [5] M. Pamuk, S. O¨ . Yurttas¸, Integral laminations on non–orientable surfaces, Turkish J. Math, 42 (2018), 69-82.
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
1.Yurttas SO. Intersections of Multicurves on Small Genus Non–Orientable Surfaces. Journal of Mathematical Sciences and Modelling. 2021;4(3):110-116. doi:10.33187/jmsm.1005520
Chicago
Yurttas, Saadet Oyku. 2021. “Intersections of Multicurves on Small Genus Non–Orientable Surfaces”. Journal of Mathematical Sciences and Modelling 4 (3): 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
[1]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, Dec. 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 1, 2021): 110-116. https://doi.org/10.33187/jmsm.1005520.
JAMA
1.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, Dec. 2021, pp. 110-6, doi:10.33187/jmsm.1005520.
Vancouver
1.Saadet Oyku Yurttas. Intersections of Multicurves on Small Genus Non–Orientable Surfaces. Journal of Mathematical Sciences and Modelling. 2021 Dec. 1;4(3):110-6. doi:10.33187/jmsm.1005520