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Feb 6, 2015 at 2:33 comment added Jonathan Gleason Do you have a reference where I could read about this in more detail? Thanks in advance.
May 13, 2011 at 14:53 comment added Theo Johnson-Freyd Incidentally, Dan Freed this week gave a colloquium talk where he described various stacks (on manifolds, valued in simplicial sets), with a focus on $Bun^\nabla_G$. He had earlier explained some calculations with the stach $\Omega^1$; in particular, he had calculated the de Rham complex $\Omega^\bullet(\Omega^1) = Maps(\Omega^1 \to \Omega^\bullet)$ to be $\mathbb R \overset0\to \mathbb R \overset\sim\to \mathbb R \overset0\to \mathbb R \overset\sim\to \dots$. Then he argued that $Bun^\nabla_G = \Omega^1\otimes\mathfrak g/G$, and calculated $\Omega^\bullet(Bun^\nabla_G)$.
Feb 18, 2010 at 1:55 vote accept Theo Johnson-Freyd
Feb 17, 2010 at 21:32 history answered Chris Schommer-Pries CC BY-SA 2.5