Topology Atlas | Conferences

Knots in Washington XXXVI
May 3-5, 2013
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

Conference Homepage


Abelian quotients of the string link monoid
by
Akira Yasuhara
Tokyo Gakugei University
Coauthors: Jean-Baptiste Meilhan (University of Grenoble 1)

The set SL(n) of n-string links has a monoid structure, given by the stacking product. When considered up to concordance, SL(n) becomes a group, which is known to be abelian only if n=1. In this paper, we consider two families of equivalence relations which endow SL(n) with a group structure, namely the Ck-equivalence introduced by Habiro in connection with finite type invariants theory, and the Ck-concordance, which is generated by Ck-equivalence and concordance. We investigate under which condition these groups are abelian.

Date received: April 28, 2013

Copyright © 2013 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 # cbhe-10.