Proceedings of the Edinburgh Mathematical Society (Series 2)

Research Article

THE CONWAY FUNCTION OF A SPLICE

David Cimasonia1

a1 Section de Mathématiques, Université de Genève, 2–4 rue du Lièvre, 1211 Genève 24, Switzerland (david.cimasoni@math.unige.ch)

Abstract

We give a closed formula for the Conway function of a splice in terms of the Conway function of its splice components. As corollaries, we refine and generalize results of Seifert, Torres and Sumners-Woods.

AMS 2000 Mathematics subject classification: Primary 57M25

(Received July 08 2004)

Keywords

  • Conway function;
  • splicing;
  • cabling;
  • refined torsion