differential cohomology in an (∞,1)-topos – survey
internal homotopy ∞-groupoid?
(…)
Background fields in twisted differential nonabelian cohomology?
In a ∞-connected (∞,1)-topos $\mathbf{H}$ a cocycle in (nonabelian) de Rham cohomology is a cocycle $\mathbf{\Pi}(X) \to A$ in flat differential cohomology whose underlying cocycle $X \hookrightarrow \mathbf{\Pi}(X) \to A$ in (nonabelian) cohomology is trivial: it encodes a trivial principal ∞-bundle with possibly nontrivial but flat connection.
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Last revised on July 19, 2010 at 11:52:54. See the history of this page for a list of all contributions to it.