Topology Atlas | Conferences

Knots in Washington XX; 60th birthday of Louis H. Kauffman
February 11-13, 2005
George Washington University
Washington, DC, USA

Organizers
Sofia Lambropoulou (NTUA and Univ. de Caen), Jozef H. Przytycki (GWU), Yongwu Rong (GWU)

Conference Homepage


Virtual braids and the L-move
by
Sofia Lambropoulou
National Technical Univ. Athens, Greece and Univ. de Caen, France
Coauthors: Louis Kauffman

We discuss isotopy of virtual knots and links and their topological interpretations. We then show how to derive an analogue of the Markov theorem for virtual braids using the L-moves. The L-move techniques lead to a set of local algebraic moves in the virtual braid groups that can be used for constructing invariants of virtual knots using algebraic machinery.

Date received: February 1, 2005

Copyright © 2005 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # capo-09.