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

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2020-01-01 DOI:10.2206/kyushujm.74.265

T. Takata, Rika Tanaka

引用次数: 0

Abstract

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

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.