We construct a categorification of the quantum projectors, the analog of the Jones–Wenzl projectors, as the stable limit of the complexes assigned to -twist torus braids (as ) in a suitably shifted version of Morrison and Nieh’s geometric formulation of link homology  We use these projectors to give a categorification of the Reshetikhin–Turaev invariant of framed tangles.
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David E. V. Rose, A categorification of quantum projectors and the Reshetikhin–Turaev invariant of tangles. Quantum Topol. 5 (2014), no. 1, pp. 1–59DOI 10.4171/QT/46