Higher depth quantum modular forms and plumbed 3-manifolds

DOI10.1007/s11005-020-01310-zzbMath1460.11051arXiv1906.10722OpenAlexW2955139865MaRDI QIDQ2224488

Antun Milas, Karl Mahlburg, Kathrin Bringmann

Publication date: 3 February 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.10722

zbMATH Keywords

quantum invariantsquantum modular formsplumbing graphs

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Topological quantum field theories (aspects of differential topology) (57R56) Theta series; Weil representation; theta correspondences (11F27) Discontinuous groups and automorphic forms (11F99) Knot theory (57K10)

Related Items (11)

Branches, quivers, and ideals for knot complements ⋮ Witten-Reshetikhin-Turaev invariants, homological blocks, and quantum modular forms for unimodular plumbing H-graphs ⋮ Higher rank \(\hat{Z}\) and \(F_K\) ⋮ Higher depth false modular forms ⋮ 3-manifolds and VOA characters ⋮ Resurgence analysis of quantum invariants of Seifert fibered homology spheres ⋮ Quantum modular \(\widehat{Z}^G\)-invariants ⋮ Modular transformations of homological blocks for Seifert fibered homology 3-spheres ⋮ Integral representations of rank two false theta functions and their modularity properties ⋮ The false theta functions of Rodgers and their modularity ⋮ Cobordism invariants from BPS \(q\)-series

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