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- Title
CHORD DIAGRAMS AND COXETER LINKS.
- Authors
ERIKO HIRONAKA
- Abstract
The paper presents a construction of fibered links $(K, \Sigma)$ out of chord diagrams $\sL$</formtex>. Let $\Gamma$</formtex> be the incidence graph of $\sL$</formtex>. Under certain conditions on $\sL$</formtex> the symmetrized Seifert matrix of $(K, \Sigma)$</formtex> equals the bilinear form of the simply-laced Coxeter system $(W, S)$</formtex> associated to $\Gamma$</formtex>; and the monodromy of $(K, \Sigma)$</formtex> equals minus the Coxeter element of $(W, S)$</formtex>. Lehmer's problem is solved for the monodromy of these Coxeter links.
- Subjects
GAMMA (Electronic computer system); MATRICES (Mathematics); BILINEAR forms; COXETER graphs; DYNKIN diagrams
- Publication
Journal of the London Mathematical Society, 2004, Vol 69, Issue 1, p243
- ISSN
0024-6107
- Publication type
Article
- DOI
10.1112/S0024610703004976