A theory of bundles over posets

Details A theory of bundles over posets A theory of bundles over posets

2007-07-02

arxiv.org/abs/0707.0240v1

Mathematics

Algebraic Topology

Scientific paper

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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