Research Article
BibTex RIS Cite

Intersections of Multicurves on Small Genus Non–Orientable Surfaces

Year 2021, Volume: 4 Issue: 3, 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, Volume: 4 Issue: 3, 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 Volume: 4 Issue: 3

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.

29237    Journal of Mathematical Sciences and Modelling 29238

                   29233

Creative Commons License The published articles in JMSM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.