Parity in knot theory and graph-links

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. © 2013 Springer Science+Business Media New York.

Authors
Ilyutko D.P.1, 2 , Manturov V.O. 3 , Nikonov I.M.1, 2
Journal
Journal of Mathematical Sciences (United States)
Publisher
Springer New York LLC
Number of issue
6
Language
English
Pages
809-965
Status
Published
Link
External link
DOI
10.1007/s10958-013-1499-y
Volume
193
Year
2013
Organizations
  • 1 Department of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russian Federation
  • 2 Delone Laboratory of Discrete and Computational Geometry, P. G. Demidov Yaroslavl State University, Yaroslavl, Russian Federation
  • 3 Faculty of Science, Peoples’ Friendship University of Russia, Moscow, Russian Federation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/2020/
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