5 citations · 9 across the 31 of their papers we have counts for
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On biquandles for the groups and surface singular braid monoid
Sang Youl Lee, Vassily Olegovich Manturov, Igor Mikhailovich Nikonov
The groups were defined by V. O. Manturov in order to describe dynamical systems in configuration systems. In the paper we consider two applications of this theory: we defi…
Virtual index cocycles and invariants of virtual links
Igor Nikonov
Virtual index cocycle is the 1-cochain that counts virtual crossings in the arcs of a virtual link diagram. We show how this cocycle can be used to reformulate and unify some known…
Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces
Louis H. Kauffman, Igor Mikhailovich Nikonov, Eiji Ogasa
We discuss links in thickened surfaces. We define the Khovanov-Lipshitz-Sarkar stable homotopy type and the Steenrod square for the homotopical Khovanov homology of links in thicke…