A New Proof of bf{Z_(Kup)=|Z_(Henn)|²} for Semisimple Hopf Algebras
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algebrashennhopfproofsemisimplecertaincloseddefined
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Hennings and Kuperberg defined quantum invariants $Z_{Henn}$ and $Z_{Kup}$ for closed oriented $3$-manifolds based on certain Hopf algebras, respectively. When the Hopf algebras are semisimple, it is shown that $Z_{Kup}=|Z_{Henn}|^2$. In this paper, we present a new proof of this equality.
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