|Z_(Kup)|=|Z_(Henn)|² for Lens spaces
classification
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hennalgebrashopfinvariantslensspacescertainclosed
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M. Hennings and G. Kuperberg defined quantum invariants Z_{Henn} and Z_{Kup} of closed oriented 3-manifolds based on certain Hopf algebras, respectively. We prove that |Z_{Kup}|=|Z_{Henn}|^2 for lens spaces when both invariants are based on factorizable finite dimensional ribbon Hopf algebras.
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