34 citations · 54 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
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,…
Orientations of Chord Diagrams and Khovanov Homology
Oleg Viro
By adding or removing appropriate structures to Gauss diagram, one can create useful objects related to virtual links. In this paper few objects of this kind are studied: twisted v…
Configurations of skew lines
Julia Viro, Oleg Viro
This paper is an updated version of a survey on projective configurations of subspaces in general position. The preceding version was published in Russian in 1989 and in English in…
Remarks on definition of Khovanov homology
Oleg Viro
Mikhail Khovanov in math.QA/9908171 defined, for a diagram of an oriented classical link, a collection of groups numerated by pairs of integers. These groups were constructed as ho…