On the signatures of torus knots

Details On the signatures of torus knots On the signatures of torus knots

2010-02-24

arxiv.org/abs/1002.4500v1

Mathematics

Geometric Topology

10 pages

Scientific paper

We study properties of the signature function of the torus knot $T_{p,q}$.
First we provide a very elementary proof of the formula for the integral of the
signatures over the circle. We obtain also a closed formula for the
Tristram--Levine signature of a torus knot in terms of Dedekind sums.

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