Quantum modular forms and plumbing graphs of 3-manifolds

DOI10.1016/j.jcta.2019.105145zbMath1444.11112arXiv1810.05612OpenAlexW2978735793MaRDI QIDQ2010647

Kathrin Bringmann, Karl Mahlburg, Antun Milas

Publication date: 27 November 2019

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05612

zbMATH Keywords

Cartan matricesquantum invariantsquantum modular formsplumbing graphs

Mathematics Subject Classification ID

Discontinuous groups and automorphic forms (11F99) Graph theory (05C99) Hyperbolic 3-manifolds (57K32)

Related Items (19)

Quantum modularity of partial theta series with periodic coefficients ⋮ Branches, quivers, and ideals for knot complements ⋮ Higher rank \(\hat{Z}\) and \(F_K\) ⋮ Decorated TQFTs and their Hilbert spaces ⋮ 3-manifolds and VOA characters ⋮ Resurgence analysis of quantum invariants of Seifert fibered homology spheres ⋮ Lattice cohomology and \(q\)-series invariants of 3-manifolds ⋮ Quantum modular \(\widehat{Z}^G\)-invariants ⋮ Modular transformations of homological blocks for Seifert fibered homology 3-spheres ⋮ On \(q\)-series identities for false theta series ⋮ Higher depth quantum modular forms and plumbed 3-manifolds ⋮ On ribbon categories for singlet vertex algebras ⋮ Integral representations of rank two false theta functions and their modularity properties ⋮ Quivers for 3-manifolds: the correspondence, BPS states, and 3d \(\mathcal{N} = 2\) theories ⋮ 3d-3d correspondence for mapping tori ⋮ APS \(\eta \)-invariant, path integrals, and mock modularity ⋮ Cobordism invariants from BPS \(q\)-series ⋮ Three-manifold quantum invariants and mock theta functions ⋮ \({\widehat{Z}}\) at large \(N\): from curve counts to quantum modularity

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