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A NOTE ON THE CROSSING NUMBER AND THE BRAID INDEX FOR VIRTUAL LINKS.

Authors :
TAKEDA, YASUSHI
Source :
Journal of Knot Theory & Its Ramifications. Jul2010, Vol. 19 Issue 7, p867-880. 14p. 18 Diagrams, 1 Chart.
Publication Year :
2010

Abstract

It is well known that any virtual link is described as the closure of a virtual braid. Therefore, we can define the virtual braid index. Ohyama proved an inequality for the crossing number and the braid index of a classical link. In this paper, we prove an analogous inequality for the (total) crossing number and the braid index of a virtual link. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02182165
Volume :
19
Issue :
7
Database :
Academic Search Index
Journal :
Journal of Knot Theory & Its Ramifications
Publication Type :
Academic Journal
Accession number :
52859590
Full Text :
https://doi.org/10.1142/S021821651000825X