A knot bounding a grope of class n is n/2-trivial
Geometric Topology
2007-05-23 v2
Abstract
In this article it is proven that if a knot, K, bounds an imbedded grope of class n, then the knot is n/2-trivial in the sense of Gusarov and Stanford. That is, all type n/2 invariants vanish on K. We also give a simple way to construct all knots bounding a grope of a given class. It is further shown that this result is optimal in the sense that for any n there exist gropes which are not n/2+1- trivial.
Cite
@article{arxiv.math/9907158,
title = {A knot bounding a grope of class n is n/2-trivial},
author = {James Conant},
journal= {arXiv preprint arXiv:math/9907158},
year = {2007}
}
Comments
32 pages, 25 figures, additional reference material added