An invariant of links in a~thickened torus
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 5-18

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For links in a thickened torus, we construct a polynomial invariant depending on three variables. The construction involves Kauffman's formal theory based on Dehn's presentation of the group of a knot. Certain properties of the invariant are established, and a theorem about a Conway type relation is proved. Bibl. – 10 titles.
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     title = {An invariant of links in a~thickened torus},
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M. V. Zenkina; V. O. Manturov. An invariant of links in a~thickened torus. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 11, Tome 372 (2009), pp. 5-18. http://geodesic.mathdoc.fr/item/ZNSL_2009_372_a0/