On C_n-moves for links
Geometric Topology
2010-02-09 v1
Abstract
A C_n-move is a local move on links defined by Habiro and Goussarov, which can be regarded as a `higher order crossing change'. We use Milnor invariants with repeating indices to provide several classification results for links up to C_n-moves, under certain restrictions. Namely, we give a classification up to C_4-moves of 2-component links, 3-component Brunnian links and n-component C_3-trivial links, and we classify n-component link-homotopically trivial Brunnian links up to C_{n+1}-moves.
Cite
@article{arxiv.math/0607116,
title = {On C_n-moves for links},
author = {Jean-Baptiste Meilhan and Akira Yasuhara},
journal= {arXiv preprint arXiv:math/0607116},
year = {2010}
}
Comments
16 pages