English

Linking numbers in non-orientable 3-manifolds

Geometric Topology 2016-06-21 v1

Abstract

The construction of integer linking numbers of closed curves in a three-dimensional manifold usually appeals to the orientation of this manifold. We discuss how to avoid it constructing similar homotopy invariants of links in non-orientable manifolds.

Keywords

Cite

@article{arxiv.1606.05876,
  title  = {Linking numbers in non-orientable 3-manifolds},
  author = {Victor A. Vassiliev},
  journal= {arXiv preprint arXiv:1606.05876},
  year   = {2016}
}
R2 v1 2026-06-22T14:28:46.461Z