51 citations · 254 across the 64 of their papers we have counts for
3 papers · 2 filters
Virtually Symmetric representations and marked Gauss diagrams
Valeriy G. Bardakov, Mikhail V. Neshchadim, Manpreet Singh
In this paper, we define the notion of a virtually symmetric representation of representations of virtual braid groups and prove that many known representations are equivalent to v…
Spatial graph as connected sum of a planar graph and a braid
Valeriy G. Bardakov, Akio Kawauchi
In this paper we show that every finite spatial graph is a connected sum of a planar graph, which is a forest, i.e. disjoint union of finite number of trees and a tangle. As a cons…
Quandle cohomology, extensions and automorphisms
Valeriy Bardakov, Mahender Singh
The paper establishes new relationship between cohomology, extensions and automorphisms of quandles. We derive a four term exact sequence relating quandle 1-cocycles, second quandl…