Characterization of affine links in the projective space
Geometric Topology
2019-01-24 v1
Abstract
A projective link is a smooth closed 1-submanifold of the real projective space of dimension three. A projective link is said to be affine if it is isotopic to a link, which does not intersect some projective plane. The main result: a projective link is affine if and only if the fundamental group of its complement contains a non-trivial element of order two.
Cite
@article{arxiv.1901.07686,
title = {Characterization of affine links in the projective space},
author = {Oleg Viro},
journal= {arXiv preprint arXiv:1901.07686},
year = {2019}
}