On the Signatures of Torus Knots
Volume 58 / 2010
Bulletin Polish Acad. Sci. Math. 58 (2010), 167-177
MSC: Primary 57M25.
DOI: 10.4064/ba58-2-7
Abstract
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 signature over the circle. We also obtain a closed formula for the Tristram–Levine signature of a torus knot in terms of Dedekind sums.
