Virtual braids

• Autorzy: Louis H. Kauffman , Sofia Lambropoulou
• Języki publikacji: EN

Abstrakty

EN

This paper gives a new method for converting virtual knots and links to virtual braids. Indeed, the braiding method given here is quite general and applies to all the categories in which braiding can be accomplished. This includes the braiding of classical, virtual, flat, welded, unrestricted, and singular knots and links. We also give reduced presentations for the virtual braid group and for the flat virtual braid group (as well as for other categories). These reduced presentations are based on the fact that these virtual braid groups for n strands are generated by a single braiding element plus the generators of the symmetric group on n letters.

Kategorie tematyczne

• 57M25: Knots and links in S 3

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 184
• Numer: 1
• Strony: 159-186

Daty

wydano

2004

Twórcy

autor

Louis H. Kauffman

• Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan St., Chicago, IL 60607-7045, U.S.A.

autor

Sofia Lambropoulou

• Department of Mathematics, National Technical University of Athens, Zografou Campus, GR-157 80 Athens, Greece
• Laboratoire de Mathématiques Nicolas Oresme, Université de Caen, F-14032 Caen Cedex, France

Identyfikatory

DOI

10.4064/fm184-0-11