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Contemporary Mathematics. Fundamental Directions, 2013, Volume 51, Pages 123–141 (Mi cmfd258)  
This article is cited in 6 scientific papers (total in 6 papers)

Weak parities and functorial maps

I. M. Nikonov

Faculty of Mechanics and Mathematics, M. V. Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (435 kB) Citations (6)
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Abstract: We consider functorial maps and weak parities that are two equivalent descriptions of one object. Functorial maps allow one to transform knots and extend knot invariants with these transformations. We introduce maximal weak parity and calculate it for knots in a given closed oriented surface. The weak parity induce a projection from virtual knots onto classical ones.
English version:
Journal of Mathematical Sciences, 2016, Volume 214, Issue 5, Pages 699–717
DOI: https://doi.org/10.1007/s10958-016-2807-0
Document Type: Article
UDC: 515.16+519.17
Language: Russian
Citation: I. M. Nikonov, “Weak parities and functorial maps”, Topology, CMFD, 51, PFUR, M., 2013, 123–141; Journal of Mathematical Sciences, 214:5 (2016), 699–717
Citation in format AMSBIB
\Bibitem{Nik13}
\by I.~M.~Nikonov
\paper Weak parities and functorial maps
\inbook Topology
\serial CMFD
\yr 2013
\vol 51
\pages 123--141
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd258}
\transl
\jour Journal of Mathematical Sciences
\yr 2016
\vol 214
\issue 5
\pages 699--717
\crossref{https://doi.org/10.1007/s10958-016-2807-0}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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