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ACHIRALITY AND LINKING NUMBERS OF LINKS.
- Source :
-
Journal of Knot Theory & Its Ramifications . Apr2012, Vol. 21 Issue 4, p1250036-1-1250036-11. 11p. 16 Diagrams. - Publication Year :
- 2012
-
Abstract
- An oriented and ordered n-component link L in the 3-sphere is said to be achiral if it is ambient isotopic to its mirror image ignoring orientations and ordering of the components. For an oriented and ordered n-component link L, let λL be the product of linking numbers of all 2-component sublinks in L. For n = 4m + 3, where m is a non-negative integer, we show that if L is achiral then λL = 0. And for n ≠ 4m + 3, we show that there exists an n-component achiral link L with λL ≠ 0 by using achiral embeddings of complete graphs with n vertices Kn. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02182165
- Volume :
- 21
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Journal of Knot Theory & Its Ramifications
- Publication Type :
- Academic Journal
- Accession number :
- 71885737
- Full Text :
- https://doi.org/10.1142/S0218216511009868