Geodesic
Classification of knotted arcs in the thickenes punctured torus
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 15 (2012), pp. 112-118 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper we classify knotted arcs in the thickened punctured torus $T_0\times I$. Arcs are constructed by a three-step process. First we enumerate graphs with 0, 1, 2 vertices of valence 4 and two vertices of valence 1, then for each graph we enumerate all corresponding knot projections, and after that we construct the corresponding minimal diagrams. For proving that all knotted arcs are different we use the generalized Kauffman polynomial.
Keywords: knotted arc, thikened punctured torus. 
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Ya. K. Ilyina. Classification of knotted arcs in the thickenes punctured torus. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 15 (2012), pp. 112-118. http://geodesic.mathdoc.fr/item/VCHGU_2012_15_a7/

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