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Colored knot invariants from Reshetikhin-Turaev approach

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HTLW03 - Physics and knot homologies

I will discuss Reshetikhin-Turaev approach for construction of colored quantum link invariants, which are colored HOMFLY polynomials in the case of sl(N). This approach involves quantum R-matrices and inclusive quantum Racah coefficients also known as 6-j symbols and provides a systematic way for calculation of colored invariants. I will present our recent results for three-strand knots and relation with an alternative approach coming from WZW CFT .

This talk is part of the Isaac Newton Institute Seminar Series series.

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