an:01022898
Zbl 0882.57002
Hennings, Mark
Invariants of links and 3-manifolds obtained from Hopf algebras
EN
J. Lond. Math. Soc., II. Ser. 54, No. 3, 594-624 (1996).
00037896
1996
j
57M25 57N10
link; 3-manifold; ribbon Hopf algebra; invariants of links; invariants of 3-manifolds; colored framed links; trace functionals
\textit{N. Y. Reshetikhin} and \textit{V. G. Turaev} [Commun. Math. Phys. 127, No. 1, 1-26 (1990; Zbl 0768.57003)] and \textit{S. Majid} [Int. J. Mod. Phys. A 5, No. 1, 1-91 (1990; Zbl 0709.17009)] used representations of a quasitriangular ribbon Hopf algebra to construct invariants of colored framed links. Then taking linear combinations of them, invariants for \(3\)-manifolds were obtained [\textit{N. Y. Reshetikhin} and \textit{V. G. Turaev}, Invent. Math. 103, No. 3, 547-597 (1991; Zbl 0725.57007)]. In this paper under review, the author finds more general sufficient conditions to define invariants of \(3\)-manifolds, using trace functionals rather than representations.
H.Murakami (Tokyo)
Zbl 0768.57003; Zbl 0709.17009; Zbl 0725.57007