Faddeev’s Quantum Dilogarithm and State-Integrals on Shaped Triangulations

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Abstract

Using Faddeev’s quantum dilogarithm function, we review our description of a one parameter family of state-integrals on shaped triangulated pseudo 3-manifolds. This invariant is part of a certain TQFT, which we have constructed previously in a number of papers on the subject.

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Andersen, J. E., & Kashaev, R. (2015). Faddeev’s Quantum Dilogarithm and State-Integrals on Shaped Triangulations. In Mathematical Physics Studies (Vol. Part F1113, pp. 133–152). Springer. https://doi.org/10.1007/978-3-319-09949-1_5

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