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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1261–1277
DOI: https://doi.org/10.33048/semi.2021.18.096 (Mi semr1437) 		 
Geometry and topology

Quandles, quasoids and projections

F. G. Korablevab

a Chelyabinsk State University, 192, Br. Kashirinykh str., Chelyabinsk, 454000, Russia
b N.N. Krasovsky Institute of Mathematics and Meckhanics, 4, S. Kovalevskoy str., Ekaterinburg, 620990, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.096
Abstract: We study connections between two algebraic constructions — quandles and quasoids. Both of them are motivated by colorings of knot diagrams. There are constructions of cocyclic knot invariants as for quandles and for quasoids. In this paper we, at first, introduce the notion of projection from quasoid to quandle and, at second, construct mixed cocyclic invariants, which use quandles, quasoids and projections in their definition.
Keywords: Quandle, quasoid, cocyclic invariant, chain complex.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00127
Received September 12, 2021, published November 18, 2021
Bibliographic databases:
Document Type: Article
UDC: 515.162.32
MSC: 57M25
Language: Russian
Citation: F. G. Korablev, “Quandles, quasoids and projections”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1261–1277
Citation in format AMSBIB
\Bibitem{Kor21}
\by F.~G.~Korablev
\paper Quandles, quasoids and projections
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1261--1277
\mathnet{http://mi.mathnet.ru/semr1437}
\crossref{https://doi.org/10.33048/semi.2021.18.096}
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