Skein relations for Milnor's mu-invariants
Geometric Topology
2014-10-01 v2
Abstract
The theory of link-homotopy, introduced by Milnor, is an important part of the knot theory, with Milnor's mu-bar-invariants being the basic set of link-homotopy invariants. Skein relations for knot and link invariants played a crucial role in the recent developments of knot theory. However, while skein relations for Alexander and Jones invariants are known for quite a while, a similar treatment of Milnor's mu-bar-invariants was missing. We fill this gap by deducing simple skein relations for link-homotopy mu-invariants of string links.
Keywords
Cite
@article{arxiv.math/0507602,
title = {Skein relations for Milnor's mu-invariants},
author = {Michael Polyak},
journal= {arXiv preprint arXiv:math/0507602},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-58.abs.html