### Polynomial \(G_L\), Yang-Baxter Equation and Quantum Group \(SL(2)_q\)

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J.W. Alexander, A lemma on systems of knotted curves, Proc. Nat. Acad. Sci. 9 (1923), 93–95.

I. Altıntas, An oriented state model for the Jones polynomial and its applications alternating links, Appl. Math. Comput. 194 (2007), 168–178.

˙I. Altınta¸s, Some Properties of Polynomial G and N, and tables of knots and links, (in IECMSA-2012, 3-7 September, Prishtine, KOSOVA, 2012), Mathematical Sciences & Applications, E-Notes 1 (2013), 90–102.

E. Artin, Theory of braids, Ann. of Math. 48 (1947), 101–126.

S.J. Birman, Braids, links and mappings class groups, Ann. of Math. Study 82, Princeton University Press (1974).

V.G. Drinfeld, Quantum groups, Proc. Intl. Congress Math., Berkeley, Calif. USA (1986), 789–820.

V.F.R. Jones, Index for subfactors, Invent. Math. 72 (1983), 1–25.

V.F.R. Jones, A new knot polynomial and von Neuman algebras, Bul. Amer. Math. Soc. 129 (1985), 103–112.

V.F.R. Jones, A polynomial invariant for links via von Neuman algebras. Notices Amer. Math. Soc. 33 (1986), 219–225.

V.F.R. Jones, Hecke algebra representations of braid groups and link polynomial, Ann. Math. 126 (1987), 335–388.

L.H. Kauffman, State models and the Jones polynomial, Topology 26 (1987), 395–407.

L.H. Kauffman, New invariants in the theory of knots, Amer. Math. Monthly 95 (1988), 195–242.

L.H. Kauffman, An invariant of regular isotopy, Trans. Amer. Math. Soc. 318 (1990), 417–471.

L.H. Kauffman, Knot and physics. Series on Knots and Everything 318, World Scientific, (1991) (2nd edition, 1993).

T.P. Kirkman, The enumeration, description and construction of knots with fewer than 10 crossings, Trans. Roy. Soc. Edinb. 32 (1865), 281–309.

C.N. Little, Non-alternate (pm) knots, Trans. Roy. Soc. Edinb. 39 (1900), 771–778.

P.G. Tait, On Knots I, II, III, Scientic Papers Vol. I, Cambridge University Press, London (1898), 273–347.

DOI: http://dx.doi.org/10.26713%2Fcma.v7i1.382

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