Chord Diagrams and Coxeter Links

Eriko Hironaka

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arXiv · math/0204039

Chord Diagrams and Coxeter Links

Eriko Hironaka

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Abstract

This paper presents a construction of fibered links $(K,Σ)$ out of chord diagrams $\sL$. Let $Γ$ be the incidence graph of $\sL$. Under certain conditions on $\sL$ the symmetrized Seifert matrix of $(K,Σ)$ equals the bilinear form of the simply-laced Coxeter system $(W,S)$ associated to $Γ$; and the monodromy of $(K,Σ)$ equals minus the Coxeter element of $(W,S)$. Lehmer's problem is solved for the monodromy of these Coxeter links.

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BibTeX RIS

Eriko Hironaka. 2002-04-02. Chord Diagrams and Coxeter Links. https://arxiv.org/abs/math/0204039

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