Geodesic
Parity in knot theory and graph-links
Contemporary Mathematics. Fundamental Directions, Topology, Tome 41 (2011), pp. 3-163

Voir la notice de l'article provenant de la source Math-Net.Ru

The present monograph is devoted to low-dimensional topology in the context of two thriving theories: parity theory and theory of graph-links, the latter being an important generalization of virtual knot theory constructed by means of intersection graphs. Parity theory discovered by the second-named author leads to a new perspective in virtual knot theory, the theory of cobordisms in two-dimensional surfaces, and other new domains of topology. Theory of graph-links highlights a new combinatorial approach to knot theory. 
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D. P. Ilyutko; V. O. Manturov; I. M. Nikonov. Parity in knot theory and graph-links. Contemporary Mathematics. Fundamental Directions, Topology, Tome 41 (2011), pp. 3-163. http://geodesic.mathdoc.fr/item/CMFD_2011_41_a0/