A q=0 Temperley-Lieb category with explicit Jones-Wenzl projectors is shown to be equivalent as a coboundary category to sl2-crystals, yielding diagrammatic formulas for the crystal commutor.
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A Coboundary Temperely-Lieb Category for $\mathfrak{sl}_2$-Crystals
A q=0 Temperley-Lieb category with explicit Jones-Wenzl projectors is shown to be equivalent as a coboundary category to sl2-crystals, yielding diagrammatic formulas for the crystal commutor.