Turkish Journal of Mathematics
Article Title
An invariant of regular isotopy for disoriented links
DOI
10.55730/1300-0098.3345
Abstract
In this paper, we define a two-variable polynomial invariant of regular isotopy, $M_{K}$ for a disoriented link diagram $K$. By normalizing the polynomial $M_{K}$ using complete writhe, we obtain a polynomial invariant of ambient isotopy, $N_{K}$, for a disoriented link diagram $K$. The polynomial $N_{K}$ is a generalization of the expanded Jones polynomial for disoriented links and is an expansion of the Kauffman polynomial $F$ to the disoriented links. Moreover, the polynomial $M_{K}$ is an expansion of the Kauffman polynomial $L$ to the disoriented links.
Keywords
Disoriented link, disoriented crossing, disoriented regular isotopy, complete writhe, disoriented link polynomial
First Page
56
Last Page
74
Recommended Citation
ALTINTAŞ, İSMET and PARLATICI, HATİCE
(2023)
"An invariant of regular isotopy for disoriented links,"
Turkish Journal of Mathematics: Vol. 47:
No.
1, Article 4.
https://doi.org/10.55730/1300-0098.3345
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss1/4
