Vol. 186, No. 2, 1998

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The Alexander polynomial of a configuration of skew lines in 3-Space

Rudi Penne

Vol. 186 (1998), No. 2, 315–348
Abstract

In Penne, 1995, we observed that the multi-variable Alexander polynomial can be computed by means of “multi-variable Burau matrices”, the entries of which can be visualized by a “path model”. In this article we introduce the Alexander polynomial for line configurations. The correspondence between “adjacency of lines” in a configuration, and the factorization of its Alexander polynomial can be well understood by way of the path model.

Milestones
Published: 1 December 1998
Authors
Rudi Penne
Karel de Grote-Hogeschool
Antwerp, Belgium