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math-phJun 29, 2005
38
citations (OpenAlex)
authors
  • Kazuhiro Hikami
arXiv abstractPDF
paper

Mock (False) Theta Functions as Quantum Invariants

arXiv:math-ph/0506073 · doi:10.1070/RD2005v010n04ABEH000328

Abstract

We show a correspondence between the SU(2) Witten--Reshetikhin--Turaev invariant for the Seifert manifold M(p,q,r) and Ramanujan's mock theta functions.

24 pages

Cited by in corpus (11)

  • 3d Modularity
  • A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres
  • Transformation Formula of the "2nd" Order Mock Theta Function
  • Quantum Invariants, Modular Forms, and Lattice Points II
  • Asymptotic behavior of partial and false theta functions arising from Jacobi forms and regularized characters
  • Cobordism invariants from BPS q-series
  • BPS Indices, Modularity and Perturbations in Quantum K-theory
  • Z^ invariants at rational τ
  • N=4 Superconformal Algebra and the Entropy of HyperKahler Manifolds
  • Three-Manifold Quantum Invariants and Mock Theta Functions
  • Superconformal Algebras and Mock Theta Functions
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