Abstract
Reshetikhin and Turaev [10] gave a method to construct a topological invariant of compact oriented 3-manifolds from a ribbon Hopf algebra (e.g. a quantum group Uq(sl2)) using finite-dimensional representations of it. In this paper we give another independent method to construct a topological invariant of compact oriented 3-manifolds from a ribbon Hopf algebra via universal invariants of framed links without using representations of the algebra. For Uq(sl2) these two methods give different invariants of 3-manifolds.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. On Kirby's calculus of links
2. [3] Hennings M. A. . Invariants of links and 3-manifolds obtained from Hopf algebras (preprint).
3. [4] Kauffman L. H. and Radford D. E. . Invariants of 3-manifolds derived from finite dimensional Hopf algebras (preprint).
4. A calculus for framed links inS 3
Cited by
17 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献