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arXiv · 1506.00712

Reidemeister torsion of a 3-manifold obtained by a Dehn-surgery along the figure-eight knot

Teruaki Kitano
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Abstract

Let M be a closed 3-manifold obtained by Dehn surgery along the figure-eight knot. We give a formula of the Reisdemeisiter torsion of M for any irreducible SL(2;C)-representation. It is described as a rational expression of the trace of the image of the meridian.

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Teruaki Kitano. 2015-06-02. Reidemeister torsion of a 3-manifold obtained by a Dehn-surgery along the figure-eight knot. https://arxiv.org/abs/1506.00712

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