Quantum osp(1|2n) knot invariants are the same as quantum so(2n+1) knot invariants
Quantum Algebra
2018-03-16 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.1509.03533,
title = {Quantum osp(1|2n) knot invariants are the same as quantum so(2n+1) knot invariants},
author = {Sean Clark},
journal= {arXiv preprint arXiv:1509.03533},
year = {2018}
}
Comments
35 Pages, some figures, comments welcome