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Journal of the London Mathematical Society 2004 69(1):243-257; doi:10.1112/S0024610703004976
© 2004 by London Mathematical Society
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© The London Mathematical Society

Chord Diagrams and Coxeter Links

Eriko Hironaka

Department of Mathematics, Florida State University Tallahassee, FL 32306, USA, hironaka{at}math.fsu.edu

Received 21 March 2003. Revision received 29 April 2003.

The paper presents a construction of fibered links (K, {Sigma}) out of chord diagrams L. Let {Gamma} be the incidence graph of L. Under certain conditions on L the symmetrized Seifert matrix of (K, {Sigma}) equals the bilinear form of the simply-laced Coxeter system (W, S) associated to {Gamma} and the monodromy of (K, {Sigma}) equals minus the Coxeter element of (W, S). Lehmer's problem is solved for the monodromy of these Coxeter links.


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