On the modularity of the unified WRT invariants of certain Seifert manifolds

DOI10.1016/j.aam.2009.12.004zbMath1267.11041OpenAlexW2089080681MaRDI QIDQ534180

Jeremy Lovejoy, Kathrin Bringmann, Kazuhiro Hikami

Publication date: 17 May 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2009.12.004

zbMATH Keywords

mock theta functionsHecke-type sumsWRT invariants

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27) Relations with algebraic geometry and topology (11F23)

Related Items (20)

Some new mock theta functions ⋮ Sequencing BPS spectra ⋮ Three-parameter mock theta functions ⋮ Unnamed Item ⋮ ON FOUR NEW MOCK THETA FUNCTIONS ⋮ Ramanujan's \(_1\psi_1\) summation, Hecke-type double sums, and Appell-Lerch sums ⋮ Generalizations of mock theta functions and Appell-Lerch sums ⋮ Hecke-type double sums and mock theta functions ⋮ Rogers-Ramanujan type identities for alternating knots ⋮ On three third order mock theta functions and Hecke-type double sums ⋮ Unnamed Item ⋮ On \(q\)-series identities for false theta series ⋮ Unnamed Item ⋮ Quantum modular forms and plumbing graphs of 3-manifolds ⋮ On second and eighth order mock theta functions ⋮ New mock theta conjectures. I ⋮ On generalizations of theorems involving the third-order mock theta functions ⋮ Third-order mock theta functions ⋮ Unnamed Item ⋮ The colored Jones polynomial and Kontsevich–Zagier series for double twist knots

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dyson's ranks and Maass forms
• A trinomial analogue of Bailey's lemma and \(N=2\) superconformal invariance
• Skein-theoretical derivation of some formulas of Habiro
• Modular forms and quantum invariants of \(3\)-manifolds
• Quantum invariants of 3-manifolds: Integrality, splitting, and perturbative expansion
• Invariants of 3-manifolds via link polynomials and quantum groups
• Mock (false) theta functions as quantum invariants
• A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres
• A Survey of Classical Mock Theta Functions
• The Fifth and Seventh Order Mock Theta Functions
• Overpartitions
• Some Eighth Order Mock Theta Functions
• Hecke Type Formula for Unified Witten–Reshetikhin–Turaev Invariants as Higher-Order Mock Theta Functions
• Integrality of quantum 3-manifold invariants and a rational surgery formula
• Second Order Mock Theta Functions
• The Final Problem : An Account of the Mock Theta Functions
• The classification of exceptional Dehn surgeries on 2-bridge knots

This page was built for publication: On the modularity of the unified WRT invariants of certain Seifert manifolds