A theory of bundles over posets

• Autores: John E. Roberts, Giuseppe Ruzzi, Ezio Vasselli
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 1, 2009, págs. 125-153
• Idioma: inglés
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• Resumen

  • In algebraic quantum field theory the spacetime manifold is replaced by a suitable base for its topology ordered under inclusion. We explain how certain topological invariants of the manifold can be computed in terms of the base poset. We develop a theory of connections and curvature for bundles over posets in search of a formulation of gauge theories in algebraic quantum field theory.