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ON THE ASYMPTOTIC EXPANSION OF THE QUANTUM SU(2) INVARIANT AT ζ = e^4πi/r FOR LENS SPACE L (p, q)

Authors :
TAKATA, Toshie
TANAKA, Rika
Source :
Kyushu Journal of Mathematics. 74(2):265-289
Publication Year :
2020
Publisher :
Faculty of Mathematics, Kyushu University, 2020.

Abstract

We give a formula for the quantum SU(2) invariant at ζ = e^4πi/r for Lens space L(p, q), and we prove that the asymptotic expansion is represented by a sum of contributions from SL_2C flat connections whose coefficients are square roots of the Reidemeister torsions.

Details

Language :
English
ISSN :
13406116
Volume :
74
Issue :
2
Database :
OpenAIRE
Journal :
Kyushu Journal of Mathematics
Accession number :
edsair.jairo.........bf0ec3d098e606c3232d099d7274968f