On the relation between two quantum group invariants of 3-cobordisms

preprint1995arXivOpen access

Abstract

We prove in the context of quantum groups at even roots of unity that a Turaev-Viro type invariant of a 3-dimensional cobordism M equals the tensor product of the Reshetikhin-Turaev invariants of M and M*, where M* denotes M with orientation reversed.

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