Abstract
We extend the Kamada-Miyazawa polynomial to virtual singular links, which is valued in $\mathbb{Z}[A^2, A^{-2}, h]$. The decomposition of the resulting polynomial into two components, one in $\mathbb{Z}[A^2, A^{-2}]$ and the other in $\mathbb{Z}[A^2, A^{-2}]h$ yields the decomposition of the Kauffman-Jones polynomial of virtual singular links into two components, one in $\mathbb{Z}[A^2, A^{-2}]$ and the other in $\mathbb{Z}[A^2, A^{-2}]A^2$, where both components are invariants for virtual singular links.
Citation
Carmen Caprau. Kelsey Friesen. "On the Kauffman-Jones Polynomial for Virtual Singular Links." Missouri J. Math. Sci. 31 (1) 79 - 104, May 2019. https://doi.org/10.35834/mjms/1559181628
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