AM  Vol.5 No.1 , January 2014
The Quantum sl2-Invariant of a Family of Knots
ABSTRACT

We give a general formula of the quantum sl2-invariant of a family of braid knots. To compute the quantum invariant of the links we use the Lie algebra g=sl2 in its standard two-dimensional representation. We also recover the Jones polynomial of these knots as a special case of this quantum invariant.


Cite this paper
A. Nizami, M. Munir and M. Bano, "The Quantum sl2-Invariant of a Family of Knots," Applied Mathematics, Vol. 5 No. 1, 2014, pp. 70-78. doi: 10.4236/am.2014.51008.
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