|ZKup|=|ZHenn|2 for Lens spaces

Abstract

M. Hennings and G. Kuperberg defined quantum invariants ZHenn and ZKup of closed oriented 3-manifolds based on certain Hopf algebras, respectively. We prove that |ZKup|=|ZHenn|2 for lens spaces when both invariants are based on factorizable finite dimensional ribbon Hopf algebras.

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