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Arborescent knots, mutants - current status on their invariants

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HTLW03 - Physics and knot homologies

Computation of colored HOMFLY -PT polynomials for knots carrying arbitrary representations is still a challenging problem. First I will recapitulate the necessary tools for determining the colored knot invariant within Chern-Simons theory. Then, I will present our results on quantum Wigner 6j useful for writing polynomial form of the knot invariant. Further, we will discuss our results for mutant knot pairs. Finally, we summarize the current status on these polynomials which we periodically update on the website http://knotebook.org

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

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