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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeSep 10th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarted [[infinity-Lie algebroid valued differential forms]] , since that is needed all through our discussion of oo-Chern-Weil elsewhere. But right now the entry is stubby.

   started infinity-Lie algebroid valued differential forms , since that is needed all through our discussion of oo-Chern-Weil elsewhere. But right now the entry is stubby.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeSep 20th 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexexpanded [[infinity-Lie algebroid valued differential forms]] added a discussion of how the 1-morphisms in the oo-groupoid of oo-Lie algebra value forms come from the infinitesimal gauge transformation formulas that one can find in the literature. Still have to collect the links to that literature, though.

   expanded infinity-Lie algebroid valued differential forms

   added a discussion of how the 1-morphisms in the oo-groupoid of oo-Lie algebra value forms come from the infinitesimal gauge transformation formulas that one can find in the literature. Still have to collect the links to that literature, though.

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeSep 21st 2010
   • (edited Sep 21st 2010)
   • PermaLink
   Author: Urs
   Format: MarkdownItexokay, I have now added details to [[infinity-Lie algebroid-valued differential form]] on where in the literature the formulas for gauge transformation of oo-forms that I derive appear already, and in which disguise. Incidentally, in the process of doing so I finally understood fully the notion of "rheonomy" in the [[D'Auria-Fre formulation of supergravity]]: it's essentially nothing but the _second $\infty$-Ehresmann condition_ for super-$\infty$-connections locally encoding descent of curvature characteristic forms not along just the simplex bundle $U \times\Delta^k \to U$ but also along the super-simplex bundles $U \times \Delta^{1|p} \to U$. I'll work that into the entry now.

   okay, I have now added details to infinity-Lie algebroid-valued differential form on where in the literature the formulas for gauge transformation of oo-forms that I derive appear already, and in which disguise.

   Incidentally, in the process of doing so I finally understood fully the notion of “rheonomy” in the D’Auria-Fre formulation of supergravity: it’s essentially nothing but the second $\infty$-Ehresmann condition for super-$\infty$-connections locally encoding descent of curvature characteristic forms not along just the simplex bundle $U \times\Delta^k \to U$ but also along the super-simplex bundles $U \times \Delta^{1|p} \to U$. I’ll work that into the entry now.

4. • CommentRowNumber4.
   • CommentAuthorDavidRoberts
   • CommentTimeSep 21st 2010
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   Author: DavidRoberts
   Format: MarkdownItex>it's essentially nothing but the _second $\infty$-Ehresmann condition_ for super-$\infty$-connections locally encoding descent of curvature characteristic forms not along just the simplex bundle $U \times\Delta^k \to U$ but also along the super-simplex bundles $U \times \Delta^{1|p} \to U$. :D this is why I love category theory.

   it’s essentially nothing but the second $\infty$-Ehresmann condition for super-$\infty$-connections locally encoding descent of curvature characteristic forms not along just the simplex bundle $U \times\Delta^k \to U$ but also along the super-simplex bundles $U \times \Delta^{1|p} \to U$.

   :D this is why I love category theory.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeSep 23rd 2010
   • PermaLink
   Author: Urs
   Format: MarkdownItexI reorganized the exposition a bit

   I reorganized the exposition a bit