Algebra i Analiz
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


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i Analiz, 2024, Volume 36, Issue 1, Pages 17–39 (Mi aa1899)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

On the growth of the number of prime knots

I. S. Alekseev, A. M. Vershik, A. V. Malyutin

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (278 kB) First page Citations (1)
References:
PDF
HTML
Abstract: We construct embeddings of locally free semigroups into the set of knots. These embeddings and the results of A. Vershik, S. Nechaev, and R. Bikbov on the logarithmic volume of locally free semigroups give a new record lower bound on the growth rate of the number of knots with respect to the crossing number.
Keywords: Knot, link, braid, tangle, unicursal curve, alternating knot, prime knot, Tait conjectures, checkerboard graph, locally free group, right-angled Artin group, braid group, growth rate.
Funding agency Grant number
Russian Science Foundation 21-11-00152
Received: 11.09.2023
Document Type: Article
Language: Russian
Citation: I. S. Alekseev, A. M. Vershik, A. V. Malyutin, “On the growth of the number of prime knots”, Algebra i Analiz, 36:1 (2024), 17–39
Citation in format AMSBIB
\Bibitem{AleVerMal24}
\by I.~S.~Alekseev, A.~M.~Vershik, A.~V.~Malyutin
\paper On the growth of the number of prime knots
\jour Algebra i Analiz
\yr 2024
\vol 36
\issue 1
\pages 17--39
\mathnet{http://mi.mathnet.ru/aa1899}
Linking options:
  • https://www.mathnet.ru/eng/aa1899
  • https://www.mathnet.ru/eng/aa/v36/i1/p17
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024