Mock (false) theta functions as quantum invariants

K. Hikami

doi:10.1070/RD2005v010n04ABEH000328

Mock (false) theta functions as quantum invariants

K. Hikami

Research output: Contribution to journal › Review article › peer-review

32 Citations (Scopus)

Abstract

We establish a correspondence between the SU(2) Witten-Reshetikhin-Turaev invariant for the Seifert manifold M(p₁, p₂, p ₃) and Ramanujan's mock theta functions.

Original language	English
Pages (from-to)	509-530
Number of pages	22
Journal	Regular and Chaotic Dynamics
Volume	10
Issue number	4
DOIs	https://doi.org/10.1070/RD2005v010n04ABEH000328
Publication status	Published - 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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10.1070/RD2005v010n04ABEH000328

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title = "Mock (false) theta functions as quantum invariants",

abstract = "We establish a correspondence between the SU(2) Witten-Reshetikhin-Turaev invariant for the Seifert manifold M(p1, p2, p 3) and Ramanujan's mock theta functions.",

author = "K. Hikami",

year = "2005",

doi = "10.1070/RD2005v010n04ABEH000328",

language = "English",

volume = "10",

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journal = "Regular and Chaotic Dynamics",

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DO - 10.1070/RD2005v010n04ABEH000328

M3 - Review article

AN - SCOPUS:32344431928

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EP - 530

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 4

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Mock (false) theta functions as quantum invariants

Abstract

All Science Journal Classification (ASJC) codes

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