It is well-known to the experts that multi-dimensional state integrals of products of Faddeev's quantum dilogarithm which arise in Quantum Topology can be written as finite sums of products of basic hypergeometric series in q=e^{2\pi i\tau} and \tilde{q}=e^{-2\pi i/\tau}. We illustrate this fact by giving a detailed proof for a... Show more

April 9, 2013

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From state integrals to q-series

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