The Witt group of non-degenerate braided fusion categories

Alexei Davydov; Michael Müger; Dmitri Nikshych; Victor Ostrik

doi:10.1515/crelle.2012.014

Published by De Gruyter March 6, 2012

The Witt group of non-degenerate braided fusion categories

Alexei Davydov , Michael Müger , Dmitri Nikshych and Victor Ostrik

From the journal Journal für die reine und angewandte Mathematik (Crelles Journal)

https://doi.org/10.1515/crelle.2012.014

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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.

Received: 2010-11-16

Revised: 2011-09-02

Published Online: 2012-03-06

Published in Print: 2013-04

The Witt group of non-degenerate braided fusion categories

Abstract

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