Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 1237–1244
DOI: https://doi.org/10.17377/semi.2018.15.100 (Mi semr991) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Geometry and topology

Classification of low complexity knotoids

Ph. G. Korablevab, Y. K. Maya, V. V. Tarkaevab

a Chelyabinsk State University, Br. Kashirinykh str., 192, 454000, Chelyabinsk, Russia
b N.N. Krasovsky Institute of Mathematics and Meckhanics, str. S. Kovalevskoy, 4, 620990, Ekaterinburg, Russia
Full-text PDF (556 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.17377/semi.2018.15.100
Abstract: As the main result of the paper we present the complete classification of all prime knotoids with positive height and at most 5 crossings. We prove that there exist exactly 31 knotoids of this type. The proof is based on the complete table of knots in the thickened torus and the correspondence between knotoids in the two dimensional sphere and knots in the thickened torus.
Keywords: knotoid, classification, crossing number, height of knotoid, table.
Funding agency Grant number
Russian Science Foundation 16–11–10291
Received August 15, 2018, published October 23, 2018
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
MSC: 57M25
Language: Russian
Citation: Ph. G. Korablev, Y. K. May, V. V. Tarkaev, “Classification of low complexity knotoids”, Sib. Èlektron. Mat. Izv., 15 (2018), 1237–1244
Citation in format AMSBIB
\Bibitem{KorMayTar18}
\by Ph.~G.~Korablev, Y.~K.~May, V.~V.~Tarkaev
\paper Classification of low complexity knotoids
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 1237--1244
\mathnet{http://mi.mathnet.ru/semr991}
\crossref{https://doi.org/10.17377/semi.2018.15.100}
Linking options:
  • https://www.mathnet.ru/eng/semr991
  • https://www.mathnet.ru/eng/semr/v15/p1237
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024