\(|Z_{Kup}|=|Z_{Henn}|^{2}\) for lens spaces

DOI10.4171/QT/44zbMath1302.57038arXiv1106.3313OpenAlexW2094996632MaRDI QIDQ2637474

Liang Chang, Zhenghan Wang

Publication date: 11 February 2014

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3313

zbMATH Keywords

Hopf algebrasknots3-manifoldsTQFT

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Hopf algebras and their applications (16T05)

Cites Work

• A necessary and sufficient condition for a finite-dimensional Drinfel'd double to be a ribbon Hopf algebra
• State sum invariants of 3-manifolds and quantum \(6j\)-symbols
• The trace function and Hopf algebras
• Some interrelations between Hopf algebras and their duals.
• Skein theory and Turaev-Viro invariants
• Noninvolutory Hopf algebras and \(3\)-manifold invariants
• On the relation between the WRT invariant and the Hennings invariant
• Invariants of Links and 3-Manifolds Obtained from Hopf Algebras
• INVARIANTS OF 3-MANIFOLDS DERIVED FROM FINITE DIMENSIONAL HOPF ALGEBRAS
• The equality of 3-manifold invariants
• Non-semisimple topological quantum field theories for 3-manifolds with corners
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