This article is cited in 36 papers

Bicentennial of C.G. Jacobi

Mock (false) theta functions as quantum invariants

K. Hikami

Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo 113-0033, Japan

Abstract: We establish a correspondence between the $\mathrm{SU(2)}$ Witten–Reshetikhin–Turaev invariant for the Seifert manifold $M(p_1,p_2,p_3)$ and Ramanujan's mock theta functions.

Keywords: quantum invariant, modular form, mock theta function, Seifert manifold, q-hypergeometric function.

MSC: 33D15, 57M27, 11F37

Received: 20.06.2005
Accepted: 19.09.2005

Language: English

DOI: 10.1070/RD2005v010n04ABEH000328

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