Non Abelian Twisted Reidemeister Torsion for Fibered Knots

By J. Dubois. Canadian mathematical bulletin, 2004

48 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a2fb00c200d29e99e33abd20152bbcd2f3089ff4

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In Geometry and Topology

1. Ileana Naish-Guzman
2. John W. Barrett

In Mathematical Physics

1. John W. Barrett
2. Ileana Naish-Guzman
3. Frank Hellmann
4. R. J. Dowdall
5. W. Fairbairn

Citations in the corpus

• The Ponzano–Regge model (2008, background): “The Abelian branch ρA = {h1, h2, h3|h1 = h2 = h3} exists for all θ ∈ [0, 2π ] and has H 2(L, ρA) = 0, whilst the non-Abelian branch ρNA exists for θ ∈ [π/3, 5π/3] and has H 2(L, ρNA) = R (see [13]).”