Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory

Details Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory

1992-02-14

arxiv.org/abs/hep-th/9202047v1

Commun.Math.Phys. 150 (1992) 83-108

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1007/BF02096567

We show how to construct, starting from a quasi-Hopf algebra, or quasi-quantum group, invariants of knots and links. In some cases, these invariants give rise to invariants of the three-manifolds obtained by surgery along these links. This happens for a finite-dimensional quasi-quantum group, whose definition involves a finite group $G$, and a 3-cocycle $\om$, which was first studied by Dijkgraaf, Pasquier and Roche. We treat this example in more detail, and argue that in this case the invariants agree with the partition function of the topological field theory of Dijkgraaf and Witten depending on the same data $G, \,\om$.

Affiliated with

Also associated with

No associations

Rating

Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-Quantum Groups, Knots, Three-Manifolds, and Topological Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-646343