透镜空间L (p, q)下量子SU(2)不变量ζ = e4π /r的渐近展开式

Pub Date : 2020-01-01 DOI:10.2206/kyushujm.74.265

T. Takata, Rika Tanaka

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引用次数: 0

摘要

我们给出了透镜空间L(p, q)在ζ = e4π i/r处的量子SU(2)不变量的一个公式，并证明了渐近展开式是由系数为Reidemeister扭转的平方根的SL2C平连接的贡献和表示的。

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ON THE ASYMPTOTIC EXPANSION OF THE QUANTUM SU(2) INVARIANT AT ζ = e4πi/r FOR LENS SPACE L (p, q)

We give a formula for the quantum SU(2) invariant at ζ = e4π i/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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