The Gassner representation for string links
Abstract
The Gassner representation of the pure braid group to $GL_n(Z[Z^n])$ can be extended to give a representation of the concordance group of $n$strand string links to $GL_n(F)$, where $F$ is the field of quotients of $\zz[\zz^n]$, $ F = Q(t_1,...,t_n)$; this was first observed by Le Dimet. Here we present simple new perspectives on its definition, its computation, and its applications to obtain both general results and interesting family of examples.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 1998
 DOI:
 10.48550/arXiv.math/9806035
 arXiv:
 arXiv:math/9806035
 Bibcode:
 1998math......6035K
 Keywords:

 Geometric Topology;
 57M
 EPrint:
 56 pages, 11 figures, Latex file