arXiv math/04042702004-04math.GTmath.QA

Gropes and the rational lift of the Kontsevich integral

James Conant

备注：: Final version. To appear in "Knots in Poland" conference proceedings
发表信息：: Fund. Math. 184 (2004), 73--77

英文摘要：

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.

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