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Parity in knot theory and graph-links |
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| Authors: | D P Ilyutko V O Manturov I M Nikonov |
| Institution: | 1. Department of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russia 2. Delone Laboratory of Discrete and Computational Geometry, P. G. Demidov Yaroslavl State University, Yaroslavl, Russia 3. Faculty of Science, Peoples’ Friendship University of Russia, Moscow, Russia |
| Abstract: | 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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