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arXiv · 1304.7585

A categorification of the ribbon element in quantum sl(2)

Anna Beliakova·Kazuo Habiro
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Abstract

We define a bicomplex whose Euler characteristic is the idempotented version of the ribbon element of quantum sl(2). We show that properties of this bicomplex descend to the centrality, invertibility and symmetries of the ribbon element after decategorification.

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Anna Beliakova, Kazuo Habiro. 2013-04-29. A categorification of the ribbon element in quantum sl(2). https://arxiv.org/abs/1304.7585

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