Kirby elements and quantum invariants
Geometric Topology
2007-05-23 v2 Quantum Algebra
Abstract
We define the notion of a Kirby element of a ribbon category C (not necessarily semisimple). Kirby elements lead to 3-manifolds invariants. We characterize (in terms of the structure maps of some categorical Hopf algebra) a set of Kirby elements of C which is sufficiently large to recover the known quantum invariants computed from C. The cases of a semisimple ribbon category and of a category of representations are explored in details.
Cite
@article{arxiv.math/0312337,
title = {Kirby elements and quantum invariants},
author = {Alexis Virelizier},
journal= {arXiv preprint arXiv:math/0312337},
year = {2007}
}
Comments
45 pages