JournalscmhVol. 81, No. 4pp. 755–781

Higher-order linking forms for knots

  • Constance Leidy

    University of Pennsylvania, Philadelphia, United States
Higher-order linking forms for knots cover
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Abstract

We construct examples of knots that have isomorphic nnth-order Alexander modules, but non-isomorphic nnth-order linking forms, showing that the linking forms provide more information than the modules alone. This generalizes work of Trotter [T], who found examples of knots that have isomorphic classical Alexander modules, but non-isomorphic classical Blanchfield linking forms.

Cite this article

Constance Leidy, Higher-order linking forms for knots. Comment. Math. Helv. 81 (2006), no. 4, pp. 755–781

DOI 10.4171/CMH/72