Non Abelian Twisted Reidemeister Torsion for Fibered Knots

Canadian mathematical bulletin

关键词: Reidemeister torsion;    Fibered knots;    Knot groups;    Representation space;    $SU$;    $SL$;    Adjoint representation;    Monodromy;   

DOI  :  10.4153/CMB-2006-006-0

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this article, we give an explicit formula to compute thenon abelian twisted sign-deter-mined Reidemeister torsion of theexterior of a fibered knot in terms of its monodromy. As anapplication, we give explicit formulae for the non abelianReidemeister torsion of torus knots and of the figure eight knot.

【 授权许可】

Unknown