Studying the multivariable Alexander polynomial by means of Seifert surfaces

Mathematics – Geometric Topology

Scientific paper

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10 pages, 2 figures

Scientific paper

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

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