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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeNov 15th 2013
   • (edited Nov 15th 2013)
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   Author: Urs
   Format: MarkdownItexnow the preprint referred to at _[[tangent cohesive (infinity,1)-topos]]_ is out: * [[Ulrich Bunke]], [[Thomas Nikolaus]], [[Michael Völkl]], _Differential cohomology theories as sheaves of spectra_ ([arXiv:1311.3188](http://arxiv.org/abs/1311.3188))

   now the preprint referred to at tangent cohesive (infinity,1)-topos is out:

   • Ulrich Bunke, Thomas Nikolaus, Michael Völkl, Differential cohomology theories as sheaves of spectra (arXiv:1311.3188)
2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeNov 18th 2013
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   Author: David_Corfield
   Format: MarkdownItexCan it mostly be seen as working out general constructions in the stable situation?

   Can it mostly be seen as working out general constructions in the stable situation?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 18th 2013
   • (edited Nov 18th 2013)
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   Author: Urs
   Format: MarkdownItexSpecifically, the article explores the implications of the fact that in the stable context, the canonical figure-8 diagram [here](http://ncatlab.org/nlab/show/tangent+cohesion#TheDifferentialDiagram) that every cohesive homotopy type sits in has both squares being homotopy pullbacks and hence represents every cohesive stable homotopy type $X$ as a differential cohomology spectrum refining the spectrum $\Pi(X)$ by the differential form data $\flat_{dR}\Sigma X$.

   Specifically, the article explores the implications of the fact that in the stable context, the canonical figure-8 diagram here that every cohesive homotopy type sits in has both squares being homotopy pullbacks and hence represents every cohesive stable homotopy type $X$ as a differential cohomology spectrum refining the spectrum $\Pi(X)$ by the differential form data $\flat_{dR}\Sigma X$.

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeNov 18th 2013
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   Author: David_Corfield
   Format: MarkdownItexI added Mike's Cafe post on fracture theorems as a reference to [[fracture theorem]]. Seems an interesting topic.

   I added Mike’s Cafe post on fracture theorems as a reference to fracture theorem. Seems an interesting topic.