David Cimasoni
Abstract
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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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.
Key concepts: Multivariable calculus, Alexander polynomial, Polynomial, Mathematics, Order (exchange), Pure mathematics, Combinatorics, Mathematical analysis