Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Viro, Oleg"'
This note is written for a book dedicated to outstanding St-Petersburg mathematicians and timed to the ICM-2022 in St-Petersburg. In accordance with the plan of ICM-organizers, we try to tell about one of the most prominent Rokhlin's achievements in
Externí odkaz:
http://arxiv.org/abs/2012.02004
Autor:
Viro, Julia, Viro, Oleg
In this paper, properties of a link $L$ in the projective space $\mathbb R P^3$ are related to properties of its group $\pi_1(\mathbb R P^3\smallsetminus L)$: $L$ is isotopic to a projective line if and only if $\pi_1(\mathbb R P^3\smallsetminus L)=\
Externí odkaz:
http://arxiv.org/abs/2006.04032
Autor:
Viro, Oleg
For a non-singular real algebraic projective curve, topological restrictions on a closed motion of a simple real divisor in its linear equivalence class are found.
Externí odkaz:
http://arxiv.org/abs/1909.05556
Autor:
Viro, Oleg
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
Externí odkaz:
http://arxiv.org/abs/1901.07686
Autor:
Viro, Oleg
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 vectors and translations in an affine space. Instead of arrows, we use bi
Externí odkaz:
http://arxiv.org/abs/1412.2397
Autor:
Viro, Oleg
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 admit elegant and useful presentations by generators and relations clos
Externí odkaz:
http://arxiv.org/abs/1405.1460
Autor:
Viro, Oleg
Publikováno v:
Journal of Knot Theory and Its Ramifications Vol. 18, No. 6 (2009) 729-755
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, the Murasugi-Tristram signatures are extended to invariants of links
Externí odkaz:
http://arxiv.org/abs/1009.1187
Autor:
Viro, Oleg
New hyperfields, that is fields in which addition is multivalued, are introduced and studied. In a separate paper these hyperfields are shown to provide a base for the tropical geometry. The main hyperfields considered here are classical number sets,
Externí odkaz:
http://arxiv.org/abs/1006.3034
Autor:
Viro, Oleg
Publikováno v:
2005 Gokova Geometry/Topology Conference Proceedings, 2006, pp. 184 - 209
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 virtual links generalizing virtual links; signed chord diagrams staying
Externí odkaz:
http://arxiv.org/abs/math/0611406
Autor:
Viro, Oleg
Publikováno v:
Advances in Soviet Math., vol. 18, 1994, 261-284
We study natural additional structures on real algebraic surfaces with trivial first homology mod 2 of the complexification. If the set of real points realizes the zero of the second homology mod 2 of the complexification, then the set of real points
Externí odkaz:
http://arxiv.org/abs/math/0611396