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We show that the action evaluated at solutions of the field equations satisfying certain boundary conditions coincides with an evaluation of the Regge action at Regge geometries defined by the boundary data. In this paper for each pseudomanifold, we construct a smooth manifold which we call a manifold with defects. As a result, the degrees of freedom of Regge calculus are traded for discrete degrees of freedom of topological BF theory. Abstract In Regge calculus, the space—time manifold is approximated by certain abstract simplicial complex, called a pseudomanifold, and the metric is approximated by an assignment of a length to each 1-simplex. Springer Nature is making Coronavirus research free. Cite this article Kisielowski, M. Published : 15 December Quantum Gravity 29 ,

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