Linear relations between writhe and minimal crossing number in Conway families of ideal knots and links

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Serval ID
serval:BIB_B95BA5C24EA4
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Linear relations between writhe and minimal crossing number in Conway families of ideal knots and links
Journal
New Journal of Physics
Author(s)
Cerf C., Stasiak A.
ISSN
1367-2630
Publication state
Published
Issued date
2003
Peer-reviewed
Oui
Volume
5
Pages
87.1-87.15
Language
english
Notes
Proceedings Paper
nternational Workshop on Topology in Condensed Matter Physics
MAX PLANCK INST PHYS KOMPLEXER SYST, DRESDEN, GERMANY, MAY 13-JUL 31, 2002
Abstract
We showed earlier how to predict the writhe of any rational knot or link in its ideal geometric configuration, or equivalently the average of the 3D writhe over statistical ensembles of random configurations of a given knot or link (Cerf and Stasiak 2000 Proc. Natl Acad. Sci. USA 97 3795). There is no general relation between the minimal crossing number of a knot and the writhe of its ideal geometric configuration. However, within individual families of knots linear relations between minimal crossing number and writhe were observed (Katritch et al 1996 Nature 384 142). Here we present a method that allows us to express the writhe as a linear function of the minimal crossing number within Conway families of knots and links in their ideal configuration. The slope of the lines and the shift between any two lines with the same
Web of science
Open Access
Yes
Create date
03/03/2010 12:40
Last modification date
20/08/2019 15:27
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