On the Signatures of Torus Knots

• Autorzy: Maciej Borodzik , Krzysztof Oleszkiewicz
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: 58
• Numer: 2
• Strony: 167-177

Daty

wydano

2010

Twórcy

autor

Maciej Borodzik

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland

autor

Krzysztof Oleszkiewicz

• Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland
• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warsaw, Poland

Identyfikatory

DOI

10.4064/ba58-2-7