A Lie theoretic categorification of the coloured Jones polynomial

Published 27 Sep 2021 in math.RT, math.GT, and math.QA | (2109.12889v1)

Abstract: We use the machinery of categorified Jones-Wenzl projectors to construct a categorification of a type A Reshetikhin-Turaev invariant of oriented framed tangles where each strand is labeled by an arbitrary finite-dimensional representation. As a special case, we obtain a categorification of the coloured Jones polynomial of links.

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