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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)
- 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.
- Subjects :
- quantum invariant
Chern-Simons invariant
Reidemeister torsion
Subjects
Details
- Language :
- English
- ISSN :
- 13406116
- Volume :
- 74
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- Kyushu Journal of Mathematics
- Accession number :
- edsair.jairo.........bf0ec3d098e606c3232d099d7274968f