Brunnian links, claspers and Goussarov-Vassiliev finite type invariants
Geometric Topology
2007-05-23 v1
Abstract
We prove that if n\ge1, then an (n+1)-component Brunnian link L in a connected, oriented 3-manifold is C_n-equivalent to an unlink. We also prove that if n\ge2, then L can not be distinguished from an unlink by any Goussarov-Vassiliev finite type invariant of degree<2n.
Keywords
Cite
@article{arxiv.math/0510460,
title = {Brunnian links, claspers and Goussarov-Vassiliev finite type invariants},
author = {Kazuo Habiro},
journal= {arXiv preprint arXiv:math/0510460},
year = {2007}
}
Comments
11 pages, 6 figures