Compact 3-manifolds with a flat Carnot-Carathéodory metric

Jacek Świątkowski

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We define suitable Sobolev topologies on the space $𝒞_{P} (B_{k}, f)$ of connections of bounded geometry and finite Yang-Mills action and the gauge group and show that the corresponding configuration space is a stratified space. The underlying open manifold is assumed to have bounded geometry.

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