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A characterization of the Chern and Bernwald connections
1996Let \(M\) be a smooth manifold and \(\pi:TM\to M\) its tangent bundle. The vertical subbundle \(V\subset T(TM)\) is \(\text{Ker} D\pi\) and a supplement of it is a horizontal bundle. A linear connection in \(V\) is good if it can be canonically prolonged to \(TM\).
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The chern-simons theory and quantized moduli spaces of flat connections
2007Anton Yu. Alekseev, Volker Schomerus
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