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Combinatorial Approach to Milnor Invariants of Welded Links
- 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
- Subjects :
- Pure mathematics
Overline
Mathematics::Complex Variables
General Mathematics
High Energy Physics::Phenomenology
Geometric Topology (math.GT)
Mathematics::Geometric Topology
Mathematics - Geometric Topology
Mathematics::Algebraic Geometry
Mathematics::K-Theory and Homology
FOS: Mathematics
Isotopy
Link (knot theory)
Mathematics
Subjects
Details
- ISSN :
- 00262285
- Volume :
- 73
- Database :
- OpenAIRE
- Journal :
- Michigan Mathematical Journal
- Accession number :
- edsair.doi.dedup.....14dfa7f1510a2a99deab36a57e41d99a