Quantum modularity and complex Chern-Simons theory

DOI10.4310/CNTP.2018.v12.n1.a1zbMath1447.57014arXiv1511.05628WikidataQ129916683 ScholiaQ129916683MaRDI QIDQ1651955

Stavros Garoufalidis, Tudor Dan Dimofte

Publication date: 11 July 2018

Published in: Communications in Number Theory and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05628

zbMATH Keywords

Kashaev invarianttrace fieldNeumann-Zagier datumquantum modularity conjecture

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Feynman diagrams (81T18) Topological field theories in quantum mechanics (81T45) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16)

Related Items (13)

Modularity and value distribution of quantum invariants of hyperbolic knots ⋮ Asymptotics of Nahm sums at roots of unity ⋮ Cluster partition function and invariants of 3-manifolds ⋮ Knots and their related \(q\)-series ⋮ Twisted Neumann-Zagier matrices ⋮ Resurgence in complex Chern-Simons theory at generic levels ⋮ Resurgence analysis of quantum invariants of Seifert fibered homology spheres ⋮ BPS invariants for 3-manifolds at rational level \(K\) ⋮ The resurgent structure of quantum knot invariants ⋮ Quantum knot invariants ⋮ Three-manifold quantum invariants and mock theta functions ⋮ Gluing. I: Integrals and symmetries ⋮ A slow review of the AGT correspondence

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