52 citations · 216 across the 27 of their papers we have counts for
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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…
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
Minimizing intersection points of curves under virtual homotopy
Vladimir Chernov, David Freund, Rustam Sadykov
A flat virtual link is a finite collection of oriented closed curves on an oriented surface considered up to virtual homotopy, i.e., a composition of elementary s…
Virtual Legendrian Isotopy
V. Chernov, R. Sadykov
An elementary stabilization of a Legendrian link in the spherical cotangent bundle of a surface is a surgery that results in attaching a handle to along two dis…