Natural bundles. I. A minimal resolution of superspace.

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

In this paper, the first of a sequence of papers applying infinite dimensional natural bundle techniques to problems in general relativity and other field theories, the author constructs a minimal resolution of the singularities in the space of geometries or superspace of a closed manifold M. The basic properties of two natural bundles associated with M are also discussed. Subsequent articles will develop the theory in the context of spin and the diffeomorphism group, the Yang-Mills moduli space, and nonlinear sigma models.

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