Abstract:
An invariant of links with two and more components in the thickened torus is constructed; the invariant depends on several variables. The construction uses Kauffman's formal theory, which is based on Dehn's representation of knot groups. This invariant is a natural generalization of a polynomial $z$ constructed by Zenkina and Manturov.
Keywords:link in the thickened torus, virtual knot, invariant of links, link diagram, regular link diagram, shadow of a link diagram, Kaufmann's formal theory, Dehn's presentation.
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