Euclidean Geometric Invariants of Links in 3-sphere

Details Euclidean Geometric Invariants of Links in 3-sphere Euclidean Geometric Invariants of Links in 3-sphere

2004-09-15

arxiv.org/abs/math/0409241v2

A shoter version of this paper is published in Proceedings of Chelyabinsk Scientific Center, Vol. 26 (2004), 1-5

Mathematics

Geometric Topology

10 pages, 3 figures

Scientific paper

We present a new link invariant which depends on a representation of the link
group in SO(3). The computer calculations indicate that an abelian version of
this invariant is expressed in terms of the Alexander polynomial of the link.
On the other hand, if we use non abelian representation, we get the squared non
abelian Reidemeister torsion (at least for some torus knots).

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