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arxiv: math/0406150 · v1 · pith:T7RHU43Unew · submitted 2004-06-08 · 🧮 math.GT

Studying the multivariable Alexander polynomial by means of Seifert surfaces

classification 🧮 math.GT
keywords alexanderpolynomialdeltamultivariableseifertsurfaceselementaryformula
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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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