Chord Diagrams and Coxeter Links

  title={Chord Diagrams and Coxeter Links},
  author={Eriko Hironaka},
  • Eriko Hironaka
  • Published 2004
This paper presents a construction of bered links (K; ) out of chord diagrams L. Let be the incidence graph of L. Under certain conditions on L the symmetrized Seifert matrix of (K; ) equals the bilinear form of the simply-laced Coxeter system (W;S) associated to ; and the monodromy of (K; ) equals minus the Coxeter element of (W;S). Lehmer's problem is solved for the monodromy of these Coxeter links. 1