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

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

2002-11-11

arxiv.org/abs/math/0211165v1

Theor.Math.Phys. 131 (2002) 765-774

Mathematics

Geometric Topology

LaTeX2e, 12 pages

Scientific paper

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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