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arxiv: 1302.5144 · v4 · pith:45MIHS5Jnew · submitted 2013-02-20 · ✦ hep-th · math-ph· math.MP

Colored HOMFLY polynomials from Chern-Simons theory

classification ✦ hep-th math-phmath.MP
keywords coloredhomflylinkschern-simonsinvariantsknotselaborateevaluations
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We elaborate the Chern-Simons field theoretic method to obtain colored HOMFLY invariants of knots and links. Using multiplicity-free quantum 6j-symbols for U_q(sl_N), we present explicit evaluations of the HOMFLY invariants colored by symmetric representations for a variety of knots, two-component links and three-component links.

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