Kyushu Journal of Mathematics
Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116
ON THE ASYMPTOTIC EXPANSION OF THE QUANTUM SU(2) INVARIANT AT ζ = e4πi/r FOR LENS SPACE L (p, q)
Toshie TAKATA, Rika TANAKA
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2020 年 74 巻 2 号 p. 265-289

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We give a formula for the quantum SU(2) invariant at ζ = e4πi/r for Lens space L(p, q), and we prove that the asymptotic expansion is represented by a sum of contributions from SL2C flat connections whose coefficients are square roots of the Reidemeister torsions.

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© 2020 Faculty of Mathematics, Kyushu University
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