The Witt group of non-degenerate braided fusion categories
Quantum Algebra
2011-09-08 v2 Representation Theory
Abstract
We give a characterization of Drinfeld centers of fusion categories as non-degenerate braided fusion categories containing a Lagrangian algebra. Further we study the quotient of the monoid of non-degenerate braided fusion categories modulo the submonoid of the Drinfeld centers and show that its formal properties are similar to those of the classical Witt group.
Keywords
Cite
@article{arxiv.1009.2117,
title = {The Witt group of non-degenerate braided fusion categories},
author = {Alexei Davydov and Michael Mueger and Dmitri Nikshych and Victor Ostrik},
journal= {arXiv preprint arXiv:1009.2117},
year = {2011}
}
Comments
37 pages; many improvements in exposition thanks to the referee suggestions; new section 3.6; new remarks 3.2, 4.12, 5.2, 5.29