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arXiv · 1509.03533

Quantum osp(1|2n) knot invariants are the same as quantum so(2n+1) knot invariants

Sean Clark
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Abstract

We show that the quantum covering group associated to osp(1|2n) has an associated colored quantum knot invariant \`a la Reshetikhin-Turaev, which specializes to a quantum knot invariant for osp(1|2n), and to the usual quantum knot invariant for so(1+2n). We then show that these knot invariants are the same, up to a change of variables and a constant factor depending on the knot and weight.

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Sean Clark. 2015-09-11. Quantum osp(1|2n) knot invariants are the same as quantum so(2n+1) knot invariants. https://doi.org/10.2140/agt.2017.17.2961

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