Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions

DOI10.1007/s40687-019-0182-4zbMath1419.11077arXiv1704.06891OpenAlexW2963882492MaRDI QIDQ2319968

Kathrin Bringmann, Antun Milas, Jonas Kaszián

Publication date: 21 August 2019

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06891

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Theta series; Weil representation; theta correspondences (11F27)

Related Items (25)

Higher depth mock theta functions and \(q\)-hypergeometric series ⋮ On the Feigin-Tipunin conjecture ⋮ Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ On parafermion vertex algebras of 𝔰𝔩(2) and 𝔰𝔩(3) at level −3 2 ⋮ Witten-Reshetikhin-Turaev invariants, homological blocks, and quantum modular forms for unimodular plumbing H-graphs ⋮ Higher depth false modular forms ⋮ 3-manifolds and VOA characters ⋮ Resurgence analysis of quantum invariants of Seifert fibered homology spheres ⋮ Resurgence and partial theta series ⋮ Quantum modular \(\widehat{Z}^G\)-invariants ⋮ On \(q\)-series identities for false theta series ⋮ S-duality and refined BPS indices ⋮ Higher depth quantum modular forms and plumbed 3-manifolds ⋮ A 𝑞-series identity via the 𝔰𝔩₃ colored Jones polynomials for the (2,2𝔪)-torus link ⋮ The false theta functions of Rodgers and their modularity ⋮ Quantum modular forms and plumbing graphs of 3-manifolds ⋮ Rank two false theta functions and Jacobi forms of negative definite matrix index ⋮ Twist formulas for one-row colored \(A_2\) webs and \(\mathfrak{sl}_3\) tails of \((2,2m)\)-torus links ⋮ A family of vector-valued quantum modular forms of depth two ⋮ Black holes and higher depth mock modular forms ⋮ Vector-valued higher depth quantum modular forms and higher Mordell integrals ⋮ Vafa-Witten theory and iterated integrals of modular forms ⋮ A short note on higher Mordell integrals ⋮ Scaling black holes and modularity ⋮ Asymptotic expansions, partial theta functions, and radial limit differences of mock modular and modular forms

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