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Relative strength of Jones and colored Jones polynomials
this is my first post here.
I've been studying some Knot Theory and I came to a question concerning invariants.
We know that the Jones polynomial is related to the RT-invariant associated to the two-...
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4
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Can the ribbon category of f.d. reps of $\mathcal{U}_q(\mathfrak{sl}(2))$ be modified so the twist is trivial on the vector representation?
Consider the ribbon category of finite-dimensional representations of $\mathcal{U}_q(\mathfrak{sl}(2))$, with twist $\theta$. If $V$ is the vector representation, then $\theta_V$ is multiplication by $...
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