The Alexander module of links at infinity

2004/06/08 by David Cimasoni
Mathematics · #math.GT #msc:32S55 #msc:57M27

paper · pdf

published as Int. Math. Res. Not. 2004, no. 20, 1023--1036 · 14 pages, 2 figures

arxiv created 2004/06/08 · arxiv updated 2009/12/01

Abstract

Walter Neumann showed that the topology of a ``regular'' algebraic curve V in C² is determined up to proper isotopy by some link in S³ called the link at infinity of V. In this note, we compute the Alexander module over C[t^{± 1}] of any such link at infinity.

Related

• Algebraic links in the Poincaré sphere and the Alexander polynomials
• On irregular links at infinity of algebraic plane curves
• Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link
• Higher-order Alexander Invariants of Hypersurface Complements
• Log-concavity of the Alexander polynomial