Fusion Categories and Homotopy Theory

We apply the yoga of classical homotopy theory to classification problems of G-extensions of fusion and braided fusion categories, where G is a finite group. Namely, we reduce such problems to classification (up to homotopy) of maps from BG to classifying spaces of certain higher groupoids. In parti...

Full description

Bibliographic Details
Main Authors: Etingof, Pavel I., Nikshych, Dmitri, Ostrik, Viktor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: European Mathematical Society 2011
Online Access:http://hdl.handle.net/1721.1/63124
https://orcid.org/0000-0002-0710-1416