2013/04/09 by Garoufalidis, Stavros, Kashaev, Rinat
#FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1304.2705
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=e2πiτ and q=e-2πi/τ. We illustrate this fact by giving a detailed proof for a family of one-dimensional integrals which includes state-integral invariants of 41 and 52 knots.