Studying the multivariable Alexander polynomial by means of Seifert surfaces

Cimasoni, David

Scientific article

English

Studying the multivariable Alexander polynomial by means of Seifert surfaces

ContributorsCimasoni, David

Published inBoletín de la Sociedad Matemática Mexicana, vol. 10, no. Special Issue, p. 107-115

Publication date2004

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.

Classification

arxiv : math.GT

Note2 figures

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

CIMASONI, David. Studying the multivariable Alexander polynomial by means of Seifert surfaces. In: Boletín de la Sociedad Matemática Mexicana, 2004, vol. 10, p. 107–115.

Article (Accepted version)

Identifiers

PID : unige:12275
arXiv : math/0406150v1

Journal ISSN1405-213X

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Studying the multivariable Alexander polynomial by means of Seifert surfaces

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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