Files in This Item:
|The 3-loop polynomial of knots obtained by plumbing the doubles of two knots
|Research Institute for Mathematical Sciences, Kyoto University
|The 3-loop polynomial of a knot is a polynomial presenting the 3-loop part of the Kontsevich invariant of knots. In this paper, we calculate the 3-loop polynomial of knots obtained by plumbing the doubles of two knots; this class of knots includes untwisted Whitehead doubles. We construct the 3-loop polynomial by calculating the rational version of the Aarhus integral of a surgery presentation. As a consequence, we obtain an explicit presentation of the 3-loop polynomial for the knots.
|Appears in Collections:
|Research Institute for Mathematical Sciences, preprints
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.