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A theory of bundles over posets |
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| Authors: | John E Roberts |
| Institution: | a Dipartimento di Matematica, Università di Roma “Tor Vergata,” Via della Ricerca Scientifica, I-00133 Roma, Italy b Dipartimento di Matematica, Università di Roma “La Sapienza,” Piazzale Aldo Moro 5, I-00185 Roma, Italy |
| Abstract: | 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. |
| Keywords: | Poset Homotopy Principal bundle Non-Abelian cohomology |
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