TITLE:
The Quantum sl2-Invariant of a Family of Knots
AUTHORS:
Abdul Rauf Nizami, Mobeen Munir, Malka Shah Bano
KEYWORDS:
Quantum Invariant; Jones Polynomial; Braid Knot
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.1,
January
2,
2014
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.