Geodesic
Odd knot invariants from quantum covering groups
Clark, Sean1
1 Department of Mathematics, Northeastern University, Boston, MA, United States
Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 2961-3005

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show that the quantum covering group associated to osp(1|2n) has an associated colored quantum knot invariant à 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). In particular, this furnishes an “odd” variant of so(1 + 2n) quantum invariants, even for knots labeled by spin representations. We then show that these knot invariants are essentially the same, up to a change of variables and a constant factor depending on the knot and weight.

DOI : 10.2140/agt.2017.17.2961
Classification : 17B37, 57M27
Keywords: quantum groups, knot invariants, Lie superalgebra

Clark, Sean 1

1 Department of Mathematics, Northeastern University, Boston, MA, United States 
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Clark, Sean. Odd knot invariants from quantum covering groups. Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 2961-3005. doi: 10.2140/agt.2017.17.2961

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