The Witt group of non-degenerate braided fusion categories

Details The Witt group of non-degenerate braided fusion categories The Witt group of non-degenerate braided fusion categories

2010-09-10

arxiv.org/abs/1009.2117v2

Mathematics

Quantum Algebra

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

Scientific paper

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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