Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2009, Volume 372, Pages 5–18 (Mi znsl3553)  
This article is cited in 3 scientific papers (total in 3 papers)

An invariant of links in a thickened torus

M. V. Zenkina, V. O. Manturov

Moscow State Region University, Faculty of Physics and Mathematics, Moscow, Russia
Full-text PDF (279 kB) Citations (3)
References:
PDF
HTML
Abstract: For links in a thickened torus, we construct a polynomial invariant depending on three variables. The construction involves Kauffman's formal theory based on Dehn's presentation of the group of a knot. Certain properties of the invariant are established, and a theorem about a Conway type relation is proved. Bibl. – 10 titles.
Key words and phrases: Alexander polynomial, Conway type relations, textil structres.
Received: 07.11.2009
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 175, Issue 5, Pages 501–508
DOI: https://doi.org/10.1007/s10958-011-0359-x
Bibliographic databases:
Document Type: Article
UDC: 515.162.8
Language: Russian
Citation: M. V. Zenkina, V. O. Manturov, “An invariant of links in a thickened torus”, Geometry and topology. Part 11, Zap. Nauchn. Sem. POMI, 372, POMI, St. Petersburg, 2009, 5–18; J. Math. Sci. (N. Y.), 175:5 (2011), 501–508
Citation in format AMSBIB
\Bibitem{ZenMan09}
\by M.~V.~Zenkina, V.~O.~Manturov
\paper An invariant of links in a~thickened torus
\inbook Geometry and topology. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 372
\pages 5--18
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3553}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 175
\issue 5
\pages 501--508
\crossref{https://doi.org/10.1007/s10958-011-0359-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79958030657}
Linking options:
  • https://www.mathnet.ru/eng/znsl3553
  • https://www.mathnet.ru/eng/znsl/v372/p5
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:377
    Full-text PDF :102
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024