Higher-order linking forms for knots

Details Higher-order linking forms for knots Higher-order linking forms for knots

2004-08-26

arxiv.org/abs/math/0408374v2

Comment. Math. Helv. 81 (2006) 755-781

Mathematics

Geometric Topology

22 pages, 2 figures

Scientific paper

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

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