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- W2559748590 endingPage "3166" @default.
- W2559748590 startingPage "3153" @default.
- W2559748590 abstract "The colored Jones polynomial is a $q$-polynomial invariant of links colored by irreducible representations of a simple Lie algebra. A $q$-series called a tail is obtained as the limit of the $mathfrak{sl}_2$ colored Jones polynomials ${J_n(K;q)}_n$ for some link $K$, for example, an alternating link. For the $mathfrak{sl}_3$ colored Jones polynomials, the existence of a tail is unknown. We give two explicit formulas of the tail of the $mathfrak{sl}_3$ colored Jones polynomials colored by $(n,0)$ for the $(2,2m)$-torus link. These two expressions of the tail provide an identity of $q$-series. This is a knot-theoretical generalization of the Andrews-Gordon identities for the Ramanujan false theta function." @default.
- W2559748590 created "2016-12-16" @default.
- W2559748590 creator A5033223225 @default.
- W2559748590 date "2018-03-20" @default.
- W2559748590 modified "2023-10-18" @default.
- W2559748590 title "A 𝑞-series identity via the 𝔰𝔩₃ colored Jones polynomials for the (2,2𝔪)-torus link" @default.
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- W2559748590 doi "https://doi.org/10.1090/proc/13907" @default.
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