Mock (false) theta functions as quantum invariants

Research output: Contribution to journalReview article

27 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 languageEnglish
Pages (from-to)509-530
Number of pages22
JournalRegular and Chaotic Dynamics
Volume10
Issue number4
DOIs
Publication statusPublished - Dec 1 2005

Fingerprint

Seifert Manifold
Mock theta Functions
Quantum Invariants
Theta Functions
Ramanujan
Correspondence
Invariant
False

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

Cite this

Mock (false) theta functions as quantum invariants. / Hikami, K.

In: Regular and Chaotic Dynamics, Vol. 10, No. 4, 01.12.2005, p. 509-530.

Research output: Contribution to journalReview article

@article{38db1574b8d94cf080797b515e29fcc4,
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",
month = "12",
day = "1",
doi = "10.1070/RD2005v010n04ABEH000328",
language = "English",
volume = "10",
pages = "509--530",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

TY - JOUR

T1 - Mock (false) theta functions as quantum invariants

AU - Hikami, K.

PY - 2005/12/1

Y1 - 2005/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=32344431928&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=32344431928&partnerID=8YFLogxK

U2 - 10.1070/RD2005v010n04ABEH000328

DO - 10.1070/RD2005v010n04ABEH000328

M3 - Review article

AN - SCOPUS:32344431928

VL - 10

SP - 509

EP - 530

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 4

ER -