52 citations · 216 across the 27 of their papers we have counts for
30 papers
Detecting Causality with the Links--Gould Polynomial
Vladimir Chernov, Matthew Harper, Ben-Michael Kohli
The conjectures of Low and Natario--Tod, and Penrose's question on Arnold's Problem list ask if causality in spacetimes can be formulated in terms of linking of spheres of light ra…
Conditions when the problems of linear programming are algorithmically unsolvable
Viktor Chernov, Vladimir Chernov
We study the properties of the constructive linear programing problems. The parameters of linear functions in such problems are constructive real numbers. To solve such a problem i…
Conjectures about virtual Legendrian knots and links
Vladimir Chernov, Rustam Sadykov
We formulate conjectures generalizing some known results to the category of virtual Legendrian knots. This includes statements relating virtual Legendrian knots to ordinary Legendr…
Conjectures on the Khovanov Homology of Torus Knots, Twist Knots, and Legendrian Simple Knots
Vladimir Chernov, Ryan Maguire
A theorem of Kronheimer and Mrowka states that Khovanov homology is able to detect the unknot. That is, if a knot has the Khovanov homology of the unknot, then it is equivalent to…
Khovanov homology and causality in spacetimes
Vladimir Chernov, Gage Martin, Ina Petkova
We observe that Khovanov homology detects causality in -dimensional globally hyperbolic spacetimes whose Cauchy surface is homeomorphic to
Interval topology in contact geometry
Vladimir Chernov, Stefan Nemirovski
A topology is introduced on spaces of Legendrian submanifolds and groups of contactomorphisms. The definition is motivated by the Alexandrov topology in Lorentz geometry.