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Lickorish Invariant And Quantum OSP(1|2)

R. B. Zhang, H. C. Lee

q-algarXiv:q-alg/9611020

Abstract

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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