FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 4, PAGES 105-117

Geometry of Euclidean tetrahedra and knot invariants

I. G. Korepanov

Abstract

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We construct knot invariants on the basis of ascribing Euclidean geometric values to a triangulation of the sphere $S3$, 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.

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Last modified: November 25, 2005