Mathematics – Geometric Topology
Scientific paper
2004-04-14
Fund. Math. 184 (2004), 73--77
Mathematics
Geometric Topology
Final version. To appear in "Knots in Poland" conference proceedings
Scientific paper
In this note, we calculate the leading term of the rational lift of the Kontsevich integral, introduced by Garoufalidis and Kricker, on the boundary of an embedded grope of class 2n. We observe that it lies in the subspace spanned by connected diagrams of Euler degree 2n-2 which have a bead t-1 on a single edge. This places severe algebraic restrictions on the sort of knots that can bound gropes, and in particular implies the two main results of the author's thesis, at least over the rationals.
Conant James
No associations
LandOfFree
Gropes and the rational lift of the Kontsevich integral does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gropes and the rational lift of the Kontsevich integral, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gropes and the rational lift of the Kontsevich integral will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-556743