Geodesic
Skein relations for Milnor’s μ-invariants
Polyak, Michael1
1Department of mathematics, Technion, Haifa 32000, Israel
Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1471-1479
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The theory of link-homotopy, introduced by Milnor, is an important part of the knot theory, with Milnor’s μ̄–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 μ̄–invariants was missing. We fill this gap by deducing simple skein relations for link-homotopy μ–invariants of string links.

DOI : 10.2140/agt.2005.5.1471
Keywords: string links, link homotopy, Milnor's $\mu$–invariants, skein relations

Polyak, Michael  1

1 Department of mathematics, Technion, Haifa 32000, Israel 
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Polyak, Michael. Skein relations for Milnor’s μ-invariants. Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1471-1479. doi: 10.2140/agt.2005.5.1471

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