Skein relations for Milnor's mu-invariants

Details Skein relations for Milnor's mu-invariants Skein relations for Milnor's mu-invariants

2005-07-29

arxiv.org/abs/math/0507602v2

Algebr. Geom. Topol. 5 (2005) 1471-1479

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-58.abs.html

Scientific paper

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.

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