Turkish Journal of Mathematics
Article Title
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.
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
