JournalsqtVol. 4, No. 4pp. 411–445

|<var>Z</var><sub>Kup</sub>|=|<var>Z</var><sub>Henn</sub>|<sup>2</sup> for lens spaces

  • Liang Chang

    University of California, Santa Barbara, USA
  • Zhenghan Wang

    University of California, Santa Barbara, USA
|<var>Z</var><sub>Kup</sub>|=|<var>Z</var><sub>Henn</sub>|<sup>2</sup> for lens spaces cover
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Abstract

M. Hennings and G. Kuperberg defined quantum invariants ZHennZ_{\rm Henn} and ZKupZ_{\rm Kup} of closed oriented 3-manifolds based on certain Hopf algebras, respectively. We prove that ZKup=ZHenn2|Z_{\rm Kup}|=|Z_{\rm Henn}|^2 for lens spaces when both invariants are based on factorizable finite dimensional ribbon Hopf algebras.

Cite this article

Liang Chang, Zhenghan Wang, |<var>Z</var><sub>Kup</sub>|=|<var>Z</var><sub>Henn</sub>|<sup>2</sup> for lens spaces. Quantum Topol. 4 (2013), no. 4, pp. 411–445

DOI 10.4171/QT/44