Topology Atlas | Conferences

Knots in Washington XVI; Conference on Knot Theory and its Ramifications
May 5-7, 2003
University of Maryland
College Park, MD, USA

Organizers
Marta M. Asaeda (UMD), William M. Goldman (UMD), John J. Millson (UMD), Jozef H. Przytycki (GWU)

Conference Homepage


Rational moves on links
by
Mieczyslaw K. Dabkowski
GWU
Coauthors: Jozef H. Przytycki (GWU)

The pth Burnside group of a link is an invariant of p- moves which can be used to analyze p- moves on links. This invariant, in particular, allows us to disprove Montesinos-Nakanishi 3-move conjecture and Harikae-Nakanishi (2, 2)-move conjecture, and answer negatively Kawauchi's question concerning link homotopy and Nakanishi's 4-move conjecture.

Date received: May 1, 2003

Copyright © 2003 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 # calc-12.