Milnor's Isotopy Invariants and Generalized Link Homotopy
Geometric Topology
2007-05-23 v1
Abstract
It has long been known that a Milnor invariant with no repeated index is an invariant of link homotopy. We show that Milnor's invariants with repeated indices are invariants not only of isotopy, but also of self C_k-moves. A self C_k-move is a natural generalization of link homotopy based on certain degree k clasper surgeries, which provides a filtration of link homotopy classes.
Keywords
Cite
@article{arxiv.math/0511477,
title = {Milnor's Isotopy Invariants and Generalized Link Homotopy},
author = {Thomas Fleming and Akira Yasuhara},
journal= {arXiv preprint arXiv:math/0511477},
year = {2007}
}
Comments
7 pages, 5 figures (low resolution)