Geometric objects in an approach to quantum geometry
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math.DG
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algebrasobjectsparallelsectionstreatappliedapproachbranching
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Ideas from deformation quantization applied to algebras with one generator lead to methods to treat a nonlinear flat connection. It provides us elements of algebras to be parallel sections. The moduli space of the parallel sections is studied as an example of bundle-like objects with discordant (sogo) transition functions, which suggests us to treat movable branching singularities.
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