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A CYCLIC APPROACH TO THE ANNULAR TEMPERLEY–LIEB CATEGORY

A CYCLIC APPROACH TO THE ANNULAR TEMPERLEY–LIEB CATEGORY

In [The planar algebra of a bipartite graph, Knots in Hellas '98 (World Scientific, 2000), pp. 94–117, MR1865703], Jones found two copies of the cyclic category cΔ in the annular Temperley–Lieb category Atl. We give an abstract presentation of Atl to discuss how these two copies of cΔ generate Atl …