Euclidean 4-simplices and invariants of four-dimensional manifolds: I. Moves 3 -> 3

Igor G. Korepanov

doi:10.1023/a:1015971322591

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Euclidean 4-simplices and invariants of four-dimensional manifolds: I. Moves 3 -> 3

Igor G. Korepanov

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Abstract

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

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Igor G. Korepanov. 2002-11-11. Euclidean 4-simplices and invariants of four-dimensional manifolds: I. Moves 3 -> 3. https://doi.org/10.1023/a%3A1015971322591

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