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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 4, Pages 105–117 (Mi fpm849)  

This article is cited in 1 scientific paper (total in 1 paper)

Geometry of Euclidean tetrahedra and knot invariants

I. G. Korepanov

South Ural State University
Full-text PDF (179 kB) Citations (1)
References:
Abstract: We construct knot invariants on the basis of ascribing Euclidean geometric values to a triangulation of the sphere $S^3$, where the knot lies. Edges of the triangulation along which the knot goes are distinguished by a nonzero deficit angle, in the terminology of the Regge calculus.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 144, Issue 5, Pages 4437–4445
DOI: https://doi.org/10.1007/s10958-007-0282-3
Bibliographic databases:
UDC: 515.162.8
Language: Russian
Citation: I. G. Korepanov, “Geometry of Euclidean tetrahedra and knot invariants”, Fundam. Prikl. Mat., 11:4 (2005), 105–117; J. Math. Sci., 144:5 (2007), 4437–4445
Citation in format AMSBIB
\Bibitem{Kor05}
\by I.~G.~Korepanov
\paper Geometry of Euclidean tetrahedra and knot invariants
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 4
\pages 105--117
\mathnet{http://mi.mathnet.ru/fpm849}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2192959}
\zmath{https://zbmath.org/?q=an:1151.57009}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 144
\issue 5
\pages 4437--4445
\crossref{https://doi.org/10.1007/s10958-007-0282-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547535087}
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  • https://www.mathnet.ru/eng/fpm849
  • https://www.mathnet.ru/eng/fpm/v11/i4/p105
  • 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
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