A theory of bundles over posets

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.

References in corpus (1)

• A cohomological description of connections and curvature over posets

Cited by in corpus (8)

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• A new light on nets of C*-algebras and their representations
• Presheaves of superselection structures in curved spacetimes
• The C(X)-algebra of a net and index theory
• The K-homology of nets of C*-algebras
• QED Representation for the Net of Causal Loops
• Aharonov-Bohm superselection sectors
• Gerbes over posets and twisted C*-dynamical systems