Categorical centers and Reshetikhin-Turaev invariants
Quantum Algebra
2008-12-15 v1 Geometric Topology
Abstract
The center Z(C) of a spherical fusion category C (over an arbitrary commutative ring) is modular. We give an algorithm for computing the Reshetikhin-Turaev invariant defined with Z(C). It is based on Hopf diagrams and an explicit description of the structure of the coend of Z(C).
Keywords
Cite
@article{arxiv.0812.2426,
title = {Categorical centers and Reshetikhin-Turaev invariants},
author = {Alain Bruguières and Alexis Virelizier},
journal= {arXiv preprint arXiv:0812.2426},
year = {2008}
}