English

Higher-order linking forms for knots

Geometric Topology 2009-09-29 v2

Abstract

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.

Keywords

Cite

@article{arxiv.math/0408374,
  title  = {Higher-order linking forms for knots},
  author = {Constance Leidy},
  journal= {arXiv preprint arXiv:math/0408374},
  year   = {2009}
}

Comments

22 pages, 2 figures