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arXiv · 2109.12889

A Lie theoretic categorification of the coloured Jones polynomial

Catharina Stroppel·Joshua Sussan
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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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Catharina Stroppel, Joshua Sussan. 2021-09-27. A Lie theoretic categorification of the coloured Jones polynomial. https://arxiv.org/abs/2109.12889

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