On the relation between the WRT invariant and the Hennings invariant
arXiv:0709.2318 · doi:10.1017/S030500410800193X
Abstract
The purpose of this note is to provide a simple relation between the Witten-Reshetikhin-Turaev SO(3) invariant and the Hennings invariant of 3-manifolds associated to quantum sl_2.
14 pages, 1 figure
References in corpus (6)
- Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center
- Mapping Class Group Actions on Quantum Doubles
- Bottom tangles and universal invariants
- Genealogy of Nonperturbative Quantum-Invariants of 3-Manifolds: The Surgical Family
- A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres
- On the Connectivity of Cobordisms and Half-Projective TQFT's
Cited by in corpus (10)
- Relations between Witten-reshetikhin-turaev and non semi-simple sl(2) 3-manifold invariants
- Modular Categories and TQFTs Beyond Semisimplicity
- On Two Invariants of Three Manifolds from Hopf Algebras
- Kuperberg invariants for balanced sutured 3-manifolds
- Relationship of the Hennings and Chern-Simons Invariants For Higher Rank Quantum Groups
- Integrality and Gauge Dependence of Hennings TQFTs
- Non-Semisimple 3-Manifold Invariants Derived From the Kauffman Bracket
- |Z_{Kup}|=|Z_{Henn}|^2 for Lens spaces
- Non-semisimple link and manifold invariants for symplectic fermions
- Quantum invariants of 3-manifolds associated to restricted quantum groups