A theory of bundles over posets
classification
🧮 math.AT
math-phmath.MP
keywords
theoryalgebraicbasebundlesfieldmanifoldposetsquantum
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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.
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