The Gassner representation for string links

Details The Gassner representation for string links The Gassner representation for string links

1998-06-08

arxiv.org/abs/math/9806035v1

Comm. Cont. Math. 3 (2001), 87-136.

Mathematics

Geometric Topology

56 pages, 11 figures, Latex file

Scientific paper

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.

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