From state integrals to \(q\)-series
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Publication:1707252
DOI10.4310/MRL.2017.v24.n3.a8zbMath1407.57010arXiv1304.2705MaRDI QIDQ1707252
Stavros Garoufalidis, Rinat M. Kashaev
Publication date: 29 March 2018
Published in: Mathematical Research Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.2705
\(q\)-seriesquantum dilogarithmNahm equationgluing equationsstate-integrals\(4_1\) knot\(5_2\) knotEuler triangular numbers
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On the quantum \(K\)-theory of the quintic ⋮ Asymptotics of Nahm sums at roots of unity ⋮ Teichmüller TQFT vs. Chern-Simons theory ⋮ Knots and their related \(q\)-series ⋮ BPS spectra and 3-manifold invariants ⋮ Resurgence in complex Chern-Simons theory at generic levels ⋮ Peacock patterns and resurgence in complex Chern-Simons theory ⋮ Alternating knots, planar graphs, and \(q\)-series ⋮ The resurgent structure of quantum knot invariants ⋮ A meromorphic extension of the 3D index
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