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Combinatorial Approach to Milnor Invariants of Welded Links

Authors :
Haruko A. Miyazawa
Akira Yasuhara
Kodai Wada
Source :
Michigan Mathematical Journal. 73
Publication Year :
2023
Publisher :
Michigan Mathematical Journal, 2023.

Abstract

For a classical link, Milnor defined a family of isotopy invariants, called Milnor $\overline{\mu}$-invariants. Recently, Chrisman extended Milnor $\overline{\mu}$-invariants to welded links by a topological approach. The aim of this paper is to show that Milnor $\overline{\mu}$-invariants can be extended to welded links by a combinatorial approach. The proof contains an alternative proof for the invariance of the original $\overline{\mu}$-invariants of classical links.<br />Comment: 25 pages; v2: the title changed, Section 1 rewritten, remarks and references added; to appear in Michigan Mathematical Journal

Details

ISSN :
00262285
Volume :
73
Database :
OpenAIRE
Journal :
Michigan Mathematical Journal
Accession number :
edsair.doi.dedup.....14dfa7f1510a2a99deab36a57e41d99a