4 papers
Pseudo-Legendrian and Legendrian Simplicity of Links in 3-Manifolds
Patricia Cahn, Rima Chatterjee, Vladimir Chernov
We construct infinite families of non-simple isotopy classes of links in overtwisted contact structures on -bundles over surfaces. These examples include: (1) a pair of Legend…
Manturov Projection for Virtual Legendrian Knots in
Vladimir Chernov, Rustam Sadykov
Kauffman virtual knots are knots in thickened surfaces considered up to isotopy, stabilizations and destabilizations, and diffeomorphisms of induced by orie…
Meander diagrams of virtual knots
Y. Belousov, V. Chernov, A. Malyutin +1
For classical knots, there is a concept of (semi)meander diagrams; in this short note we generalize this concept to virtual knots and prove that the classes of meander and semimean…
Affine linking number estimates for the number of times an observer sees a star
Vladimir Chernov, Ryan Maguire
Affine linking numbers are the generalization of linking numbers to the case of nonzero homologous linked submanifolds. They were introduced by Rudyak and the first author who used…