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Abstract

In the talk l will review a way of constructing invariants of knots in S^3, thickened torus andthickened cylinder that was introduced by V. O. Manturov and l. M. Nikonov. The idea is to map theknots to flat virtual diagrams and use invariants of flat virtual diagrams. Besides l will talk about myfindings on the diagrams which we get by this approach and how they lead to a hypothesis that thepotential of this approach for getting very strong invariants of knots is small.