The zero stability for the one-row colored sl3\mathfrak{sl}_3 Jones polynomial

The zero stability of the colored Jones polynomial was proved by using the linear skein theory for the Kauffman bracket in Armond \cite{Armond13}. The stability says that there exists a formal power series for a minus adequate link $L$ such that the first $n$ coefficients of the power series and the $(n+1)$-dimensional colored Jones polynomial of $L$ agree. In this paper, we show the zero stability of the one-row colored $\mathfrak{sl}_{3}$ Jones polynomial of a minus-adequate link by using the linear skein theory for $A_{2}$.Comment: 30 pages, many TikZ picture