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On the signatures of torus knots

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.

preprint2010arXivOpen access
Maciej BorodzikKrzysztof Oleszkiewicz
math.GT
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Maciej BorodzikKrzysztof Oleszkiewicz

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