arXiv Analytics

Sign in

arXiv:math/0310216 [math.GT]AbstractReferencesReviewsResources

A cabling formula for the 2-loop polynomial of knots

Tomotada Ohtsuki

Published 2003-10-15Version 1

The 2-loop polynomial is a polynomial presenting the 2-loop part 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.

Comments: 16 pages with 41 figures
Categories: math.GT
Subjects: 57M27, 57M25
Related articles: Most relevant | Search more
arXiv:math/0404264 [math.GT] (Published 2004-04-14, updated 2004-12-15)
A computation of the Kontsevich integral of torus knots
arXiv:1910.01672 [math.GT] (Published 2019-10-03)
Genus one cobordisms between torus knots
arXiv:1409.1490 [math.GT] (Published 2014-09-04)
Non-triviality of the $M$-degree of the $A$-polynomial