On the Signatures of Torus Knots
Maciej Borodzik ; Krzysztof Oleszkiewicz
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010), p. 167-177 / Harvested from The Polish Digital Mathematics Library
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We study properties of the signature function of the torus knot Tp,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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:281156 
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Maciej Borodzik; Krzysztof Oleszkiewicz. On the Signatures of Torus Knots. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) pp. 167-177. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-2-7/