Reidemeister torsion of a 3-manifold obtained by an integral Dehn-surgery along the figure-eight knot (Q309669)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Reidemeister torsion of a 3-manifold obtained by an integral Dehn-surgery along the figure-eight knot |
scientific article; zbMATH DE number 6624563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reidemeister torsion of a 3-manifold obtained by an integral Dehn-surgery along the figure-eight knot |
scientific article; zbMATH DE number 6624563 |
Statements
Reidemeister torsion of a 3-manifold obtained by an integral Dehn-surgery along the figure-eight knot (English)
0 references
7 September 2016
0 references
Reidemeister torsion
0 references
Dehn surgery
0 references
figure eight knot
0 references
The author of the present paper considers \(3\)-manifolds obtained by Dehn surgery along the figure-eight knot. The author establishes a formula for computing the Reidemeister torsion of such a manifold \(M\) for any \(\mathrm{SL}(2,\mathbb{C})\)-irreducible representation. Theorem 1.1: NEWLINE\[NEWLINE\tau_\rho(M)=\frac{2(u-1)}{u^2(u^2-5)}NEWLINE\]NEWLINE where \(u\) is the trace of the image of the meridian.
0 references
