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arXiv · 1901.07686

Characterization of affine links in the projective space

Oleg Viro
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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.

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Oleg Viro. 2019-01-23. Characterization of affine links in the projective space. https://arxiv.org/abs/1901.07686

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