Higher-order linking forms for knots

  • Constance Leidy

    University of Pennsylvania, Philadelphia, United States


We construct examples of knots that have isomorphic th-order Alexander modules, but non-isomorphic th-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