Studying the multivariable Alexander polynomial by means of Seifert surfaces

preprint2004arXivOpen access

Abstract

We show how Seifert surfaces, so useful for the understanding of the Alexander polynomial Δ_L(t), can be generalized in order to study the multivariable Alexander polynomial Δ_L(t_1,...,t_μ). In particular, we give an elementary and geometric proof of the Torres formula.

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