JournalsqtVol. 5, No. 1pp. 1–59

A categorification of quantum sl3\mathfrak{sl}_3 projectors and the sl3\mathfrak{sl}_3 Reshetikhin–Turaev invariant of tangles

  • David E. V. Rose

    Duke University, USA
A categorification of quantum $\mathfrak{sl}_3$ projectors and the $\mathfrak{sl}_3$ Reshetikhin–Turaev invariant of tangles cover
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Abstract

We construct a categorification of the quantum sl3\mathfrak{sl}_3 projectors, the sl3\mathfrak{sl}_3 analog of the Jones–Wenzl projectors, as the stable limit of the complexes assigned to kk-twist torus braids (as kk \to \infty) in a suitably shifted version of Morrison and Nieh’s geometric formulation of sl3\mathfrak{sl}_3 link homology [14] We use these projectors to give a categorification of the sl3\mathfrak{sl}_3 Reshetikhin–Turaev invariant of framed tangles.

Cite this article

David E. V. Rose, A categorification of quantum sl3\mathfrak{sl}_3 projectors and the sl3\mathfrak{sl}_3 Reshetikhin–Turaev invariant of tangles. Quantum Topol. 5 (2014), no. 1, pp. 1–59

DOI 10.4171/QT/46