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Contemporary Mathematics. Fundamental Directions, 2011, Volume 41, Pages 3–163 (Mi cmfd183)  
This article is cited in 19 scientific papers (total in 19 papers)

Parity in knot theory and graph-links

D. P. Ilyutkoa, V. O. Manturovb, I. M. Nikonova

a Department of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russia
b Faculty of Science, Peoples' Friendship University of Russia, Moscow, Russia
Full-text PDF (1306 kB) Citations (19)
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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.
English version:
Journal of Mathematical Sciences, 2013, Volume 193, Issue 6, Pages 809–965
DOI: https://doi.org/10.1007/s10958-013-1499-y
Bibliographic databases:
Document Type: Article
UDC: 515.16+519.17
Language: Russian
Citation: D. P. Ilyutko, V. O. Manturov, I. M. Nikonov, “Parity in knot theory and graph-links”, Topology, CMFD, 41, PFUR, M., 2011, 3–163; Journal of Mathematical Sciences, 193:6 (2013), 809–965
Citation in format AMSBIB
\Bibitem{IlyManNik11}
\by D.~P.~Ilyutko, V.~O.~Manturov, I.~M.~Nikonov
\paper Parity in knot theory and graph-links
\inbook Topology
\serial CMFD
\yr 2011
\vol 41
\pages 3--163
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd183}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3011999}
\transl
\jour Journal of Mathematical Sciences
\yr 2013
\vol 193
\issue 6
\pages 809--965
\crossref{https://doi.org/10.1007/s10958-013-1499-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84882767529}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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