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arxiv: 1009.2117 · v2 · pith:TRQ4PP2Inew · submitted 2010-09-10 · 🧮 math.QA · math.RT

The Witt group of non-degenerate braided fusion categories

classification 🧮 math.QA math.RT
keywords categoriesfusionbraidednon-degeneratecentersdrinfeldgroupwitt
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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.

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