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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 4, Pages 105–117
(Mi fpm849)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/fpm849 https://www.mathnet.ru/eng/fpm/v11/i4/p105
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