A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Higher-order Alexander invariants of plane algebraic curves
2006
International mathematics research notices
We define new higher-order Alexander modules A n (C) and higher-order degrees δ n (C) which are invariants of the algebraic planar curve C. These come from analyzing the module structure of the homology of certain solvable covers of the complement of the curve C. These invariants are in the spirit of those developed by T. Cochran in [2] and S. Harvey in [8] and [9] , which were used to study knots, 3-manifolds, and finitely presented groups, respectively. We show that for curves in general
doi:10.1155/imrn/2006/12976
fatcat:7jk4w5rgi5cpxc7cbkfsvklzsy