Quantum modular \(\widehat{Z}^G\)-invariants
DOI10.3842/sigma.2024.018arXiv2304.03934OpenAlexW4392619967MaRDI QIDQ6196824
Gabriele Sgroi, Miranda C. N. Cheng, Davide Passaro, Ioana Coman
Publication date: 15 March 2024
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.03934
Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Quantum field theory; related classical field theories (81Txx) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)
Cites Work
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- Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes
- Multiple D3-instantons and mock modular forms. I
- Eine Verallgemeinerung der Abelschen Integrale
- On integrals attached to automorphic forms
- The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
- E-strings and \(N=4\) topological Yang-Mills theories
- Modular forms and quantum invariants of \(3\)-manifolds
- \(\text{AdS}_3\) black holes and a stringy exclusion principle
- Indefinite theta series and generalized error functions
- Fivebranes and 3-manifold homology
- Mixed Rademacher and BPS black holes
- Indefinite theta functions arising in Gromov-Witten theory of elliptic orbifolds
- Squashed toric manifolds and higher depth mock modular forms
- Multiple D3-instantons and mock modular forms. II
- Nonperturbative black hole entropy and Kloosterman sums
- On two geometric theta lifts
- Quantum modular forms and plumbing graphs of 3-manifolds
- BPS invariants for 3-manifolds at rational level \(K\)
- A two-variable series for knot complements
- Resurgent analysis for some 3-manifold invariants
- Cobordism invariants from BPS \(q\)-series
- \({\widehat{Z}}\) at large \(N\): from curve counts to quantum modularity
- Rank \(N\) Vafa-Witten invariants, modularity and blow-up
- Higher depth mock theta functions and \(q\)-hypergeometric series
- Branches, quivers, and ideals for knot complements
- Higher rank \(\hat{Z}\) and \(F_K\)
- BPS invariants for Seifert manifolds
- S-duality and refined BPS indices
- Higher depth quantum modular forms and plumbed 3-manifolds
- Vafa-Witten invariants from modular anomaly
- Integral representations of rank two false theta functions and their modularity properties
- Split states, entropy enigmas, holes and halos
- 3d modularity
- Black holes and higher depth mock modular forms
- Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions
- A framework for modular properties of false theta functions
- Vector-valued higher depth quantum modular forms and higher Mordell integrals
- Vafa-Witten theory and iterated integrals of modular forms
- Mock (false) theta functions as quantum invariants
- The \(f(q)\) mock theta function conjecture and partition ranks
- BPS invariants for a knot in Seifert manifolds
- Mock modular forms and quantum modular forms
- Rademacher Sums and Rademacher Series
- Harmonic Maass Forms and Mock Modular Forms: Theory and Applications
- Jacobi forms of critical weight and Weil representations
- Construction of Automorphic Forms and Integrals
- Three-manifold quantum invariants and mock theta functions
- BPS spectra and 3-manifold invariants
- An exact formula for $\mathbf {U (3)}$ Vafa-Witten invariants on $\mathbb {P}^2$
- ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES
- \({\hat{Z}}\)-invariant for \(SO(3)\) and \(OSp (1|2)\) groups
- Higher depth false modular forms
- Resurgence analysis of quantum invariants of Seifert fibered homology spheres
- Supergroups, q-series and 3-manifolds
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