Lickorish Invariant And Quantum OSP(1|2)

Details Lickorish Invariant And Quantum OSP(1|2) Lickorish Invariant And Quantum OSP(1|2)

1996-11-19

arxiv.org/abs/q-alg/9611020v1

Mathematics

Quantum Algebra

Plain Latex. Figures available on request; to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732396002381

Lickorish's method for constructing topological invariants of 3 - manifolds is generalized to the quantum supergroup setting. An invariant is obtained by applying this method to the Kauffman polynomial arising from the vector representation of Uq(osp(1|2)). A transparent proof is also given showing that this invariant is equivalent to the Uq(osp(1|2)) invariant obtained in an earlier publication.

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