Geometry of Euclidean tetrahedra and knot invariants

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. © 2007 Springer Science+Business Media, Inc.