Euclidean tetrahedra and knot invariants

Details Euclidean tetrahedra and knot invariants Euclidean tetrahedra and knot invariants

2004-05-28

arxiv.org/abs/math/0405547v1

Mathematics

Geometric Topology

8 pages; a shorter version will be published at http://csc.ac.ru/LANG=en/news/index.html.en

Scientific paper

We construct knot invariants on the basis of ascribing Euclidean geometric values to a triangulation of sphere S^3 where the knot lies. The main new feature of this construction compared to the author's earlier papers on manifold invariants is that now nonzero "deficit angles" (in the terminology of Regge calculus) can also be handled. Moreover, the knot goes exactly along those edges of triangulations that have nonzero deficit angles.

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