34 citations · 54 across the 10 of their papers we have counts for
10 papers
Complex slices on a real variety
Oleg Viro
Let be a real algebraic variety with set of complex points and set of real points . A complex slice of is a transverse intersection of $X_{\m…
Fundamental group in the projective knot theory
Julia Viro, Oleg Viro
In this paper, properties of a link in the projective space are related to properties of its group : is isotopic to a pr…
Characterization of affine links in the projective space
Oleg Viro
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 n…
Biflippers and head to tail composition rules
Oleg Viro
A new graphical calculus for operating with isometries of low dimensional spaces of classical geometries is proposed. It is similar to a well-known graphical representation for vec…
Defining relations for reflections. I
Oleg Viro
An idea to present a classical Lie group of positive dimension by generators and relations sounds dubious, but happens to be fruitful. The isometry groups of classical geometries a…
Twisted acyclicity of a circle and link signatures
Oleg Viro
Homology of the circle with non-trivial local coefficients is trivial. From this well-known fact we deduce geometric corollaries concerning links of codimension two. In particular,…