Non Abelian Twisted Reidemeister Torsion for Fibered Knots

Non Abelian Twisted Reidemeister Torsion for Fibered Knots
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纤维结的非阿贝尔扭转 Reidemeister 扭转

DOI:
10.4153/cmb-2006-006-0
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发表时间:
2004
期刊:
Canadian Mathematical Bulletin
影响因子:
--
通讯作者:
J. Dubois
J. Dubois
中科院分区:
--
文献类型:
--
作者:
J. Dubois

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本文给出了纤维纽结外部的非阿贝尔扭号决定的Reidemister挠率的一个显式计算公式。作为应用,我们给出了环面纽结和八字纽结的非阿贝尔Reidemister挠率的显式公式。
Abstract In this article, we give an explicit formula to compute the non abelian twisted sign-determined Reidemeister torsion of the exterior of a fibered knot in terms of its monodromy. As an application, we give explicit formulae for the non abelian Reidemeister torsion of torus knots and of the figure eight knot.