JournalsprimsVol. 40, No. 3pp. 949–971

A Cabling Formula for the 2-Loop Polynomial of Knots

  • Tomotada Ohtsuki

    Kyoto University, Japan
A Cabling Formula for the 2-Loop Polynomial of Knots cover
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Abstract

The 2-loop polynomial is a polynomial presenting the 2-loop part of the logarithm of the Kontsevich invariant of knots. We show a cabling formula for the 2-loop polynomial of knots. In particular, we calculate the 2-loop polynomial for torus knots.

Cite this article

Tomotada Ohtsuki, A Cabling Formula for the 2-Loop Polynomial of Knots. Publ. Res. Inst. Math. Sci. 40 (2004), no. 3, pp. 949–971

DOI 10.2977/PRIMS/1145475498