Geodesic
Operator invariants of tangles, and $R$-matrices
Izvestiya. Mathematics , Tome 35 (1990) no. 2, pp. 411-444

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Operator invariant of tangles are introduced. They generalize both representations of braid groups involving $R$-matrices and the recently introduced Jones–Conway and Kauffman polynomials of links. Bibliography: 25 titles. 
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     author = {V. G. Turaev},
     title = {Operator invariants of tangles, and $R$-matrices},
     journal = {Izvestiya. Mathematics },
     pages = {411--444},
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     volume = {35},
     number = {2},
     year = {1990},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1990_35_2_a6/}
}
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V. G. Turaev. Operator invariants of tangles, and $R$-matrices. Izvestiya. Mathematics , Tome 35 (1990) no. 2, pp. 411-444. http://geodesic.mathdoc.fr/item/IM2_1990_35_2_a6/