English

Higher-order linking forms for 3-manifolds

Geometric Topology 2012-04-24 v1

Abstract

Given a closed, oriented, connected 3-manifold, M, we define higher-order linking forms on the higher-order Alexander modules of M. These higher-order linking forms generalize similar linking forms for knots previously studied by the author, which were themselves generalizations of the classical Blanchfield linking form for a knot. We also investigate the effect of the construction known as "infection by a knot" on these linking forms.

Keywords

Cite

@article{arxiv.1204.5167,
  title  = {Higher-order linking forms for 3-manifolds},
  author = {Constance Leidy},
  journal= {arXiv preprint arXiv:1204.5167},
  year   = {2012}
}
R2 v1 2026-06-21T20:53:40.153Z