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math.QA2025
A quantization of the Chern-Simons invariant of tangle exteriors
Calvin McPhail-Snyder
We define a sequence of invariants of tangles with flat connections (i.e. hyperbolic structures) on their complements. These can be interpre…
math.QA2025
The holonomy braiding for in terms of geometric quantum dilogarithms
Calvin McPhail-Snyder, Nicolai Reshetikhin
We derive an explicit formula for the holonomy -matrix of quantum at a root of unity. We show it factorizes into a product of four quantum dilogarithms and sat…