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Acta Mathematica Vietnamica

A Categorification of the Ribbon Element in Quantum sl(2)

icon-email Anna Beliakova , Kazuo Habiro

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.