This article is cited in 15 papers

Euclidean 4-Simplices and Invariants of Four-Dimensional Manifolds: I. Moves $3\to 3$.

I. G. Korepanov

South Ural State University

Abstract: We construct invariants of four-dimensional piecewise linear manifolds, represented as simplicial complexes, with respect to moves that transform a cluster of three 4-simplices having a common two-dimensional face to a different cluster of the same type and having the same boundary. Our construction is based on using Euclidean geometric quantities.

Received: 21.12.2001

DOI: 10.4213/tmf335

 English version: Theoretical and Mathematical Physics, 2002, 131:3, 765–774

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