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Milnor's triple linking number and Gauss diagram formulas of 3-bouquet graphs.
- Source :
-
Journal of Knot Theory & Its Ramifications . Mar2024, Vol. 33 Issue 3, p1-24. 24p. - Publication Year :
- 2024
-
Abstract
- The space of Gauss diagram formulas that are knot invariants is introduced by Goussarov–Polyak–Viro in 2000; it is extended to nanophrases by Gibson–Ito in 2011. However, known invariants in concrete presentations of Gauss diagram formulas are very limited, even in the one-component case. This paper gives a recipe to obtain explicit forms of Gauss diagram formulas that are invariants of virtual links with base points or tangles. As an application, we introduce a new construction of Gauss diagram formulas of 3 -bouquets and how to give link invariants that do not change with base point moves, including a reconstruction of the Milnor's triple linking number. [ABSTRACT FROM AUTHOR]
- Subjects :
- *KNOT theory
*CONCRETE
Subjects
Details
- Language :
- English
- ISSN :
- 02182165
- Volume :
- 33
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Knot Theory & Its Ramifications
- Publication Type :
- Academic Journal
- Accession number :
- 178066773
- Full Text :
- https://doi.org/10.1142/S0218216523500645