A Categorification of Quantum sl3 Projectors and the sl3 Reshetikhin-Turaev Invariant of Tangles
Abstract
We construct a categorification of the quantum sl3 projectors, the sl3 analog of the Jones-Wenzl projectors, as the stable limit of the complexes assigned to k-twist torus braids (as k goes to infinity) in a suitably shifted version of Morrison and Nieh's geometric formulation of sl3 link homology (math.GT/0612754). We use these projectors to give a categorification of the sl3 Reshetikhin-Turaev invariant of framed tangles.
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