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arXiv · 2507.08587

Reshetikhin-Turaev construction and $\mathrm{U}(1)^n$ Chern-Simons partition function

Michail Tagaris·Frank Thuillier
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Abstract

In this article, we show that the $\mathrm{U}(1)^n$ Chern-Simons partition functions are related to Reshetikhin-Turaev invariants. In this abelian context, it turns out that the Reshetikhin-Turaev construction that yields these invariants relies on a ``twisted" category rather than a modular one. Furthermore, the Chern-Simons duality of the $\mathrm{U}(1)^n$ partition functions straightforwardly extend to the corresponding Reshetikhin-Turaev invariants.

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Michail Tagaris, Frank Thuillier. 2025-07-11. Reshetikhin-Turaev construction and $\mathrm{U}(1)^n$ Chern-Simons partition function. https://arxiv.org/abs/2507.08587

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