This article is cited 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.

UDC: 515.162.8

 English version: Journal of Mathematical Sciences (New York), 2007, 144:5, 4437–4445

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