Mock (False) Theta Functions as Quantum Invariants
Kazuhiro Hikami
TL;DR
This paper establishes a novel connection between quantum invariants of Seifert manifolds and Ramanujan's mock theta functions, revealing new insights into their mathematical structure.
Contribution
It introduces a correspondence linking SU(2) Witten--Reshetikhin--Turaev invariants with mock theta functions, a previously unexplored relationship.
Findings
Quantum invariants relate to mock theta functions
New mathematical correspondence established
Potential implications for topology and number theory
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.
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