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


Alexander groups of long virtual knots
by
Susan Williams
University of South Alabama
Coauthors: Daniel Silver, University of South Alabama

We define an extended Alexander group for long virtual knots, and use it ot obtain invariants of open strings (long flat virtual knots.) We show that every virtual knot is the closure of infinitely many long virtual knots. Examples of noncommuting opens strings and a ribbon concordance obstruction are given.

Date received: February 4, 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-19.